# limit x->0 (3k+k(x^2) sin(1/x)), if k is a positive constant

32,883 results
1. ## AP CAlc. AB

limit x->0 (3k+k(x^2) sin(1/x)), if k is a positive constant

asked by Lily on September 6, 2014
2. ## Calculus

Find the positive integers k for which lim ->0 sin(sin(x))/x^k exists, and then find the value the limit. (hint:consider first k=0, then k=1. Find the limit in these simple cases. Next take k=2 and finally consder k>2 and find the limit in these cases as

asked by Sybil Jones on September 24, 2011
3. ## Calc

If n is a positive integer, find the limit as n approaches +∞ of 1/n(sin (π/n) + sin (2π)/n + ... + sin (nπ)/n)

asked by Erica on February 21, 2011
4. ## Integration?

Sorry, i have a load of questions on integration... thanks for any help provided! Evaluate the integrals: limit 0 to pi/4 ∫ [sec^2x]/[5+tanx] dx limit 0 to pi/6 ∫ [3cos3x]/[3+sin3x] dx limit 0 to 3 ∫ [2x-1]/[x^2-x+1] dx

asked by Arisa on June 19, 2009
5. ## Calculus

Hello, I just wanted to verify if my work was good. Calculate the following integral by parts: ∫ upper limit is 1/5 and lower limit is 1/10. of 10sin^-1 (5x)dx so first I named the variables: u = 10 sin^-1 (5x) du = 50 / sqr(1-25x^2) dv = dx v = x so we

asked by Robert on September 7, 2012
6. ## Definite integral by parts (correction)

Hello, I just wanted to verify if my work was good. Calculate the following integral by parts: ∫ upper limit is 1/5 and lower limit is 1/10. of 10sin^-1 (5x)dx so first I named the variables: u = 10 sin^-1 (5x) du = 50 / sqr(1-25x^2) dv = dx v = x so we

asked by Robert on September 5, 2012
7. ## Calculus

Does the series (1+sin(n))/(10^n) from summation 0 to positive infinity converge or diverge? I let an = (1+sin(n))/(10^n) and bn = 1/10^n lim as n approaches positive infinity = an/bn = ((1+sin(n))/(10^n))/(1/(10^n))= 1+sin(n)= positive infinity. I don't

asked by Joshua on April 16, 2009
8. ## calculus

Determine whether the following is convergent of divergent. integral(lower limit=0, upper limit=infinity)of sin(x)sin(x^2)dx Thanks

asked by Hector on July 23, 2008
9. ## calculus help

consider lim -->0^+ 1)sin(4x)/sin(3x) find the limit using a table of values 2)based on your answer what should the limit equal?

asked by Kimberly on September 12, 2012
10. ## Calc

I have a test soon.. and I really need to know how to do this problem.. please help!!! lim as x-->0 sin^2(x)/tan(x^2) the answer is 1, but I have no clue how to get that! Use series expansions. Look up Taylor expansion on google and study that topic first.

asked by Urgent on March 30, 2007
11. ## calculus help again

if f'(x)=cos x and g'(x)=1 for all x, and if f(0)=g(0)=0, then the limit x--->0 fo function f(x)/g(x)= okay, so f(x)=sinx g(x)=x and the f(0)=g(0)=0 is also satisfied and equals o. so the limit x-->o of sinx/x= is the answer nonexistent according to the

asked by david on December 7, 2006
12. ## Math-Limits

sqrt(1+tan x)-sqrt(1+sin x) lim all divided by x^3 x-->0 Use that Sqrt[1+x] = 1+ 1/2 x + 1/2 (-1/2)/2 x^2 + 1/2(-1/2)(-3/2)/6 x^3 + O(x^4) You can thus write the numerator as: 1/2 [tan(x) - sin(x)] - 1/8 [tan^2(x) - sin^2(x)] + 1/16 [tan^3(x) - sin^3(x)] +

asked by Matt on March 5, 2007
13. ## calculus

using the squeeze theorem, find the limit as x->0 of x*e^[8sin(1/x)] what i did was: -1

asked by Lid on October 27, 2015
14. ## Calculus-Limits

Okay, i posted this question yesterday, however, I did not really understand the answer I received. If your the one who answered my question, could you please elaborate. If not, could you try to answer this tough, for me, question. Thanks a lot. lim x-->0

asked by Matt on March 6, 2007
15. ## calculus

F.(0) (10 puntos posibles) C1 What is limh→0cos(π6+h)−cos(π6)h? (Enter the answer as a decimal. If the limit does not exist, enter DNE.) sin responder Loading C2 At which of the five points on the graph are dydx and d2ydx2 both negative? Click all

asked by JuanPro on August 12, 2015
16. ## d/dx

d/dx( ln |sin(pi/x)| ) = ? Thanks. If those are absolute value signs, the derivative will not exist when sin (pi/x) = 0, because of the sign change that occurs there. Assume sin (pi/x) > 0 Let u(x) = pi/x and v(x) = sin x, and use the chain rule. d/dx ln

asked by Jen on December 13, 2006
17. ## maths 2

The original question I had was write arcsin4 in the form a+ib. I manage and understand how to get so far BUT How do I get from cosacoshb-isinasinhb=4 to 2m(pi)+/- iarccosh4 arcsin4 = a + b i ---> 4 = sin(a + bi) sin(a + bi) = sin(a)cos(bi) + cos(a)

asked by Jake on January 14, 2007
18. ## Calculus...

How can I use the "angle addition formula" and the formula "limit of x approaching 0 of sin(x)" to show that the limit of x approaching 0 sin(a+x) = sin(a) for all a?

asked by Shelli on September 20, 2007
19. ## math

Prove that for all real values of a, b, t (theta): (a * cos t + b * sin t)^2

asked by mathstudent on December 19, 2006
20. ## calculus

Recall that a function G(x) has the limit L as x tends to infinity, written lim(x->infinity)G(x) = L, if for any epsilon > 0, there exists M >0 so that if x > M, then |G(x) − L| < epsilon. This means that the limit of G(x) as x tends to infinity does not

asked by Anna on July 31, 2011
21. ## CALCULUS LIMITS

What is the following limit? lim as n goes to infinity of (pi/n) (sin(pi/n) + sin(2pi/n) + sin(3pi/n) +...+ sin(npi/n)) = I.) lim as n goes to infinity sigma (n and k=1) of pi/n sin(kpi/n) II.) Definite integral from 0 to pi of sin(x)dx III.) 2 A.) I only

asked by ANONYMOUS on May 31, 2012
22. ## Calculus

What is the following limit? lim as n goes to infinity of (pi/n) (sin(pi/n) + sin(2pi/n) + sin(3pi/n) +...+ sin(npi/n)) = I.) lim as n goes to infinity sigma (n and k=1) of pi/n sin(kpi/n) II.) Definite integral from 0 to pi of sin(x)dx III.) 2 A.) I only

23. ## CALCULUS

What is the following limit? lim as n goes to infinity of (pi/n) (sin(pi/n) + sin(2pi/n) + sin(3pi/n) +...+ sin(npi/n)) = I.) lim as n goes to infinity sigma (n and k=1) of pi/n sin(kpi/n) II.) Definite integral from 0 to pi of sin(x)dx III.) 2 A.) I only

asked by ANONYMOUS on May 31, 2012
24. ## calculus

Recall that a function G(x) has the limit L as x tends to infinity, written lim(x->infinity)G(x) = L, if for any epsilon > 0, there exists M >0 so that if x > M, then |G(x) − L| < epsilon. This means that the limit of G(x) as x tends to infinity does not

asked by amber on August 1, 2011
25. ## math

The scientists Verhulst (1828) where is the natural growth rate of the population when resources are limited and is a positive constant called carrying capacity of the environment. (a) Using sign analysis, find all constant solution and discuss the general

asked by josh on November 6, 2008
26. ## Calculus

True or false. 1. If f(x) has a vertical asymptote at x=a, then the limit of f(x) as x --> a from the left is negative infinite and the limit of f(x) as x--> a from the right is positive infinite. I think this is true. Take for instance, a rational

asked by Anonymous on August 26, 2015
27. ## Calculus

Evaluate the limit. The limit as x approaches 0 of (x-sin(x))/(x-tan(x))

asked by Michael on March 21, 2012
28. ## TRIG!

Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6 x=1 - (3/4)sin^2 2x work on one side only! Responses Trig please help! - Reiny, Monday, February 23, 2009 at 4:27pm LS looks like the sum of cubes sin^6 x + cos^6 x = (sin^2x)^3 +

asked by hayden on February 23, 2009
29. ## Calculus 2

If n is a positive integer, prove that integral[(lnx)^ndx=((-1)^(n))*n!](lower limit=0, upper limit=1) Thanks Again,

asked by Hector on July 23, 2008
30. ## Trignometry

The angles in triangle ABC satisfy 6sin∠A=3√(3)sin∠B=2√(2)sin∠C. If sin^2∠A=a/b, where a and b are coprime positive integers, what is the value of a+b?

asked by Stranger on March 18, 2013
31. ## math

How to solve for delta using trig functions? i.e. cosine sine tangent secant Thank you I'm not sure what delta you're referring to. Could you please elaborate some for us. What is it you're trying to do with the trig funtions? the problem is.. limit sec

asked by Kali on September 6, 2006
32. ## math

sin 30degrees cos 240degrees + sin 210degrees sin 300degrees. -1/4 + sqrt3/4 what is the last step ?? the negative and positive signs confuse me ??

asked by Anonymous on February 3, 2011
33. ## calculus

Evaluate these limits. (Enter answer as a decimal. Enter INF if the limit is +∞; -INF if the limit is −∞; and DNE if the limit is neither ±∞ and does not exist.) (a) limx→04+x−−−−−√−2x= - sin responder (b) limx→0tan(2x)sec(3x)x

asked by JuanPro on August 12, 2015
34. ## HS Calculus

1) Limit theta approaching zero sin squared theta/ tan theta 2) Lim x appraoches zero x + sin x/x x + sin x/x = x/x + sinx/x 0 + 1 =1 My answer : 1 Is this correct

asked by jane on November 3, 2008
35. ## HS Calculus

1) Limit theta approaching zero sin squared theta/ tan theta 2) Lim x appraoches zero x + sin x/x x + sin x/x = x/x + sinx/x 0 + 1 =1 My answer : 1 Is this correct

asked by jane on November 3, 2008
36. ## Math/calc

an electric current I , in amps is given by: I= cos(wt) + sqrt of 3 sin(wt) where w is positive constant. what are the max and minimum values of I?

asked by Jolly :) on March 30, 2010
37. ## Calculus

1.) Find the equation of the line that is tangent to the graph of y-y^3 at x=1. 2.) lim x->0 ((sin x*cos 2x)/3x) 3.) Show, using the squeeze theorem, that the limit of Xe^(sin 1/x) as x->0 is 0.

asked by Amber on January 25, 2015
38. ## math/calculus

an electric current I , in amps is given by: I= cos(wt) + sqrt of 3 sin(wt) where w is positive constant. what are the max and minimum values of I? *please be specific

asked by miley on March 30, 2010
39. ## Calculus-limits

What is the limit as x approaches a of (sinx-sin a)/(x-a)? a. -sin a b. cos a c. -sin x d. cos x e. undefined Thanks!

asked by ashley on April 29, 2015
40. ## Calc

Use a graph to estimate the limit: lim θ->0 (sin(5θ)/θ) Note: θ is measured in radians. All angles will be in radians in this class unless otherwise specified. I tried graphing it on my calculator but the limit I got is incorrect.

asked by Josie on January 25, 2011
41. ## limits

what is the derivative of e^(3*ln(x^2)) i keep getting 6/x * e^(3*ln(x^2)) but that's not one of the multiple choice so am i doing something wront. also, what is the limit of (1-cosx)/(2*(sinx)^2) as x approaches zero. is the answer zero or nonexistent The

asked by david on December 9, 2006
42. ## limits

use f'(x)=lim h-->0 f(x+h)-f(x)/h to find the limit: h-->0 sin^3,4(x+h)-sin^3,4x/h

asked by Cassy on March 23, 2010
43. ## trigonometry (please double check this)

Solve the following trig equations. give all the positive values of the angle between 0 degrees and 360 degrees that will satisfy each. give any approximate value to the nearest minute only. 1. sin2ƒÆ = (sqrt 3)/2 2. sin^2ƒÆ = cos^2ƒÆ + 1/2 3. sin 2x

asked by anon on March 3, 2011
44. ## tigonometry

expres the following as sums and differences of sines or cosines cos8t * sin2t sin(a+b) = sin(a)cos(b) + cos(a)sin(b) replacing by by -b and using that cos(-b)= cos(b) sin(-b)= -sin(b) gives: sin(a-b) = sin(a)cos(b) - cos(a)sin(b) Add the two equations:

asked by Pablo on November 26, 2006
45. ## Calculus

Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if n= 1,5,9...} (3) sin

asked by George on September 9, 2008
46. ## Calculus

Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if n= 1,5,9...} (3) sin

asked by George on September 9, 2008
47. ## calculus

Consider the curves y = x^2and y = mx, where m is some positive constant. No matter what positive constant m is, the two curves enclose a region in the first quadrant.Without using a calculator, find the positive constant m such that the area of the region

asked by John on March 4, 2012
48. ## maths

Choose the option that gives an expression for the indefinite integral ʃ (cos(4x) + 2x^2)(sin(4x) − x) dx. In each option, c is an arbitrary constant. Options A cos(4x) + 2x^2 +c B -1/8cos(4x) + 2x^2)^2 +c C 1/4 (sin(4x) − x)^2 + c D (1/(2 (sin(4x)

asked by albert on May 11, 2011
49. ## URGENT HELP: calculus - limits at inifinity

1.The efficiency of an internal combustion engine is: efficiency (%) = 100 [1 - (1/(x/y)^c)] where x/y is the ratio of the uncompressed gas to the compressed gas and C is a positive constant dependent on the engine design. Find the LIMIT of the efficiency

asked by Anonymous on December 13, 2007
50. ## algebra

Can someone please help me do this problem? That would be great! Simplify the expression: sin theta + cos theta * cot theta I'll use A for theta. Cot A = sin A / cos A Therefore: sin A + (cos A * sin A / cos A) = sin A + sin A = 2 sin A I hope this will

asked by Valerie on February 18, 2007
51. ## math

The scientists Verhulst (1828) and Peal (1930) proposed the following growth model for a population living in an environment with limited resources (e.g. space, food, sunlight, etc): = , where is the natural growth rate of the population when resources are

asked by josh on November 6, 2008
52. ## Trigonometry

I have some trigonometric equations to do, but I'm pretty lost, and I have to get them done in a timely fashion, so any help would be much appreciated. "Solve the following trig equations. Give all the positive values of the angle between 0 degrees and 360

asked by Gary on March 9, 2011
53. ## Quantum mechanics, eigenfunctions!

Determine if the function sin(x)*e^(ax) where a=constant is an eigenfunction of the operators d/dx and d^2/(dx)^2 Okay. My understanding is that you use the operator and perform its "thing" on the function. In this case, you will have to find the 1st

asked by Steven on October 8, 2009
54. ## Precalculus

sin^2(2x)=2sinxcosx. Find all solutions to each equation in the interval [0, 2pi) So I started off changing 2sinxcosx = sin(2x), and my equation ended as sin^2(2x) = sin(2x). I subtracted sin(2x) by both sides and factored out sin(2x). my equation ended

asked by Anonymous on December 11, 2019
55. ## calculus-limits??

i keep on doing something wrong on this problem,i guess im forgetting to add or subtract some number. use f'(x)=lim h-->0 f(x+h)-f(x)/h to find the limit: lim h-->0 sin^(3)4(x+h)-sin^(3)4x/h

asked by JJ on March 24, 2010
56. ## Calculus

Use the graph to estimate the limit: lim x->0 sin(3x)/x When x is in degrees lim x->0 sin(3x)/x = ________ I thought the the answer was (3*180)/pi but it's not... please help... Thanks

asked by Abi on February 9, 2011
57. ## Integration by Parts

integral from 0 to 2pi of isin(t)e^(it)dt. I know my answer should be -pi. **I pull i out because it is a constant. My work: let u=e^(it) du=ie^(it)dt dv=sin(t) v=-cos(t) i integral sin(t)e^(it)dt= -e^(it)cos(t)+i*integral cost(t)e^(it)dt do integration by

asked by Ashley on April 16, 2015
58. ## Calculus

Can you please help me get the solution to this limit without using squeeze theorem and l'hopitals rule lim x to 0 of x^3 sin(1/x) lim x to 0 of x^2 sin^2(1/x)

asked by Liv on January 11, 2017
59. ## Calculus

How do I find the limit of (1+sin(pi times x))^(1/x) as x approaches 0? I tried using wolframalpha, but am unable to understand their steps. My thinking is that you set y=the limit and use L'hopital's rule a couple times. The answer I got was y=e^0--->y=1,

asked by W on January 19, 2012
60. ## Calculus

Use a Riemann sum with n = 3 terms and the right endpoint rule to approx. ∫(1, 2) sin(1/x)dx. My teacher just needs the terms written out, no need to add or multiply. This is a problem she did up on the board, so here's her answer: sin(4/3)(1/3) +

asked by Justin on November 4, 2015
61. ## Trigonometry

Solve the equation for solutions in the interval 0

asked by Renee on March 7, 2016
62. ## trig help much appreciated! :))

1. Find the complete exact solution of sin x = . 2. Solve cos 2x – 3sin x cos 2x = 0 for the principal value(s) to two decimal places. 3. Solve tan2 x + tan x – 1 = 0 for the principal value(s) to two decimal places. 4. Prove that tan2  – 1 + cos2 

asked by suzy on August 16, 2013
63. ## Trigonometry

Given that sin(2θ)=2/3, the value of sin^6θ+cos^6θ can be written as a/b with a and b as coprime positive integers. Find a+b.

asked by Shin on May 27, 2013
64. ## Digital Circuits

which is the primary purpose of a resistor in series with a led being driven by a flip-flop a. Limit voltage b. Limit current c. Limit speed d. Limit power

asked by Makaila on May 31, 2015
65. ## Calculus

Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that sin (1/x)=0 sin (1/x)=1 sin (1/x)=-1 Is sin sin (1/x)=0 and sin (1/x)=-1 does not exist. What is sin (1/x)=1 then.

asked by George on September 8, 2008
66. ## pleeaasee hellpp!!

A and B are positive acute angles. If sin A=(3/5) and cosB= (12/13) find the value of sin (A+B)

67. ## math (trig)

Find sin(x/2) if sin(x)= -0.4 and 3pi/2 < or equal to (x) < or equal to 2pi Let's use cos 2A = 1 - 2sin2 A and we can match cos x = 1 - 2sin2 (x/2) so we will need cos x we know sin x = -.4 and x is in the fourth quadrant, so the cosine will be positive.

asked by aziiancaligirl on July 15, 2007
68. ## Physics

Which of the following statements are TRUE? Choose all that apply. [HINT: The statements that are false should contradict themselves or a definition.] 1. An object can simultaneously be moving and have zero velocity. 2. An object can simultaneously have

asked by Cameron Lawrence on August 29, 2018
69. ## Mathematics-Integration

Question: For any positive integer n,show that integrate.[(sin x)^2n dx ] from o - π/2 = [(2n)!*π]/[(2)^(2n+1)*(n!)^2 ] What I thought: Let I =int.[(sinx)^2n dx] And again I= int.[ (sin(π/2-x))^2n dx] = int.[ (cos)^2n dx] 2I= int.[(sin x)^2n + (cos

asked by Shenaya on June 12, 2017
70. ## Maths

Question : Integrate [x/(1+(sin a*sin x))] from 0 to pi My first thought was to apply integrate f(x) dx= f(a-x) dx method Which simplified the integral into; 2I = integrate [pi/(1+(sin a*sin x))] dx , cancelling out x Then I made the integral into the form

asked by Ashley on March 18, 2019
71. ## math

If tan^2(t) - sin^2(t) = sin^a(t)\cos^b(t), then the positive power a = the positive power b =

asked by tyler on April 7, 2013
72. ## Differential Equations

Solve dy/dx = [ sin(2x+y)/cos(2x+y) ] - 2 and show that sin(2x+y) = e^x is a solution of the above if y(0)=pi/2 I solved the above DE using 2x+y= u substitution to get , ln (sin(2x+y)) - x - c = 0 ; where c is an arbitrary constant. How do solve the next

asked by Aryaa on October 22, 2019
73. ## Physics

particle A moves along the line y = 30m with a constant velocity of magnitude 3.5 m/s and parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with 0 initial speed and constant acceleration of magnitude 0.50

asked by James on September 30, 2012
74. ## math

Eliminate the parameter (What does that mean?) and write a rectangular equation for (could it be [t^2 + 3][2t]?) x= t^2 + 3 y = 2t Without a calculator (how can I do that?), determine the exact value of each expression. cos(Sin^-1 1/2) Sin^-1 (sin 7pi/6)

asked by Anonymous on August 3, 2007
75. ## math

The scientists Verhulst (1828) and Peal (1930) proposed the following growth model for a population living in an environment with limited resources (e.g. space, food, sunlight, etc): = , where is the natural growth rate of the population when resources are

asked by josh on November 6, 2008
76. ## Maths

So there is this question I've been trying to work out, but couldn't come up with a positive answer. Any help on this is highly appreciated. Question : If n,a,b are constants and p is a vector : p=a cos nt + b sin nt. Prove that p*dp/dt=na*b So I worked

asked by Ashley on August 12, 2019
77. ## Calc: Limits

how to calculate the limit: *I got confused especially with the square root. 1. lim as x approaches 2 (squareroot x^2 +5)-3 / (x-2) 2. lim as θ (theta) approaches zero (tan^2 (5θ) / (sin (3θ) sin (2θ) )

asked by A on January 29, 2018
78. ## Calculus

Hello, Could somebody kindly check my answer for the following question? Find the derivative of the following function: h(x)=3e^(sin(x+2)) h'(x)=3'(e^(sin(x+2))+3(e^(sin(x+2))' h'(x)=0(e^(sin(x+2))+3(e^(sin(x+2))(cos(1)) h'(x)=3cos1(e^(sin(x+2)) I would

asked by Constantine on August 18, 2015
79. ## math

1.integral cos(x)sqrt(sin(x))dx. upper limit pi and lower limit 0 2.integral 1/sqrt(x)(sqrt(x) +1)^2. Upper limit is 4 and lower limit is 1.

asked by Carl on September 10, 2018
80. ## Geometry

Let ƒÆ=sin −1 7 25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

asked by Jacob on April 11, 2013
81. ## Geometry

Let ƒÆ=sin −1 7 25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

asked by stranger on April 11, 2013
82. ## Geometry(first one is typo)

Let ƒÆ=sin −1 7/25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

asked by stranger on April 11, 2013
83. ## newton's method

the iteration formula x_(n+1)=x_(n) - (cos(x_(n)))(sin(x_(n))) + R(cos(x_(n))^2)x_n, where R is a positive constant, was obtained by applying Newton's Method to some function f(x). What was f(x)? What can this formula be used for?

asked by Julie on September 28, 2008
84. ## Mathematics - Trigonometric Identities

Let y represent theta Prove: 1 + 1/tan^2y = 1/sin^2y My Answer: LS: = 1 + 1/tan^2y = (sin^2y + cos^2y) + 1 /(sin^2y/cos^2y) = (sin^2y + cos^2y) + 1 x (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y + cos^2y) (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y +

asked by Anonymous on November 8, 2007
85. ## Calculus

limit of ((sin 3x)/x) as x approaches 0

asked by Ana on September 15, 2009
86. ## Calculus

limit of (x+sin(x))/x, as x approaches 0

asked by Anonymous on January 25, 2012
87. ## Calculus

(2x + sin x)/x What is the limit as x approaches zero?

asked by Anonymous on August 19, 2015
88. ## Calculus

Find limit as x->-3 of (sin(4x+12))/(5x+15)

asked by Lindsay on December 2, 2013
89. ## calculus

show limit x to 1 (x^2)sin(1/(x-1)) = 0

asked by confuzzled on October 19, 2010
90. ## calculus

show limit x to 1 (x^2)sin(1/(x-1)) = 0

asked by confuzzled on October 19, 2010
91. ## Calc

Limit as x approaches +∞ of x sin (1/x)

asked by Erica on January 18, 2011
92. ## calculus

What is the limit of the function as x approaches infinity? 4x^4 - 4^x Would the limit be positive infinity or negative infinity?

asked by Mishaka on October 8, 2011
93. ## Calculus

Consider the function f(x)=sin(5x)/x. (a) Fill in the following table of values for f(x): x= -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 f(x)= ( I need the values of f(x) for each x) (b) Based on your table of values, what would you expect the limit of

asked by Abi on February 9, 2011
94. ## Solving Trig Equations

Solve for x in the interval [-pi,0] a) sin^2x = 3/4 I know that you have +root3/2 and -root3/2 and the positive one gives you an error when doing the inverse of sin, but im confused about the -root3/2. I found that one of the answers of x is -pi/3 (-60

asked by Mandy on November 27, 2015
95. ## Calculus

the limit (h->0) of (sin^2(3x + 3h) - sin^2(3x))/(h) is....

asked by Lindsay on November 11, 2009
96. ## calculus

limit of ln(sin x) as x approaches pi to the left

asked by :) on May 20, 2012
97. ## AP Calculus AB

how do you solve limit approaching 0 of (sin^2x) / (x)

asked by Jackie on September 10, 2011
98. ## Calculus

Find the limit. lim t-->∞ [(t^2 -t)/(t-1)I +√((t+8))j + sin(πt)/ln(t)k]

asked by #1 on September 20, 2019
99. ## maths

find the limit of lim sin(x-1)/(x^2 + x - 2) x->1

asked by khela on October 28, 2010
100. ## calculus

Find the limit lim x ->0 (sin^2 2x)/(x^2)

asked by Anonymous on May 8, 2016