Number of results: 17,311

**Calculus**

We are doing limits in Calculus, but now we are doing trig limits too and i do not get how to do any of them. For example ones like this, how do you do them? sec (x-1) / (x sec x) x approaches 0 ((3 sin (x)) 1 - cos(x)) / (x^2) x approaches 0 (sin (2x)) / (sin (3x)) x ...

*September 28, 2008 by Michael*

**calculus (limits)**

Use limits to explain why f(x)= (7-3X)/(X+9) has a vertical asymptote.

*January 21, 2012 by k*

**Maths Calculus Derivatives & Limits**

Using the definition of the derivative evaluate the following limits 1) Lim h---> 0 [ ( 8 + h )^1/3 - 2 ] / h 2) Lim x ---> pi/3 ( 2cosx - 1 ) / ( 3x - pi)

*October 25, 2011 by Yousef*

**Calculus**

TWO examples of each of the following: two sided limits and theorem on limits (SUM, difference, product, quotient, nth root, ).

*August 29, 2012 by Anne*

**Math**

I'm in Calculus AP and we are learning about limits. I'm having trouble with finding limits algebraically. So here's a sample that you can use to help explain this to me. Find the limit of lim x (arrow to the right) 1 x-1/x(squared)-1. Please help!

*September 5, 2011 by Michael*

**AP Calculus**

Find each of the limits without a calculator. Use the limits as an aide to sketch the graph of f(x)= (x-2)/(|x|-2) for-10<_x<_10 and -6<_y<_6. Be sure to clearly indicate any asymptotes, holes or other important characteristics. lim x->∞ f(x)

*August 26, 2015 by Ana*

**Calculus**

TWO examples of two sided limits and each theorem on limits.

*August 29, 2012 by Nicole*

**Calculus please help!!! double integral**

Combine the following two integrals into one by sketching the region, then switching the order of integration. (sketch the region) im gonna use the S for integral sign..because idk what else to use. SS6ycos(x^3-3x)dxdy+SS6ycos(x^3-3x) And the first integration limits for x are...

*March 22, 2012 by Sean*

**math (Calculus III)**

In this example we should use the beta function. But I'm a bit lost, because I don't know how to change the limits of the integral to fit the one that is needed when using B-function. The problem goes like this: integrate cos^7(x) dx, limits of the integral are from 0 to pi.

*November 17, 2015 by Marie*

**Calculus 1**

Write a function that has two infinite limits at two different x-values. Write a function where both one sided limits exist at some x value but the two sided limit do not. I don't understand how this would look, please help!

*January 13, 2015 by Roger*

**Calculus (Limits)**

Let f be defined as follows, where a does not = 0, f(x) = {(x^2 - 2a + a^2) / (x-a), if x does not = a 5, if x = a Which of the following are true about f? I. lim f(x) exists as x approaches a II. f(a) exists III. f(x) is continuous at x = a. A. None B. I, II, and III C. I ...

*October 22, 2011 by Mishaka*

**Calculus**

Find the Limits. lim [t^3 + 3t^2]/[t^3 - 4t^2] t->0

*October 8, 2011 by Nemo*

**Math - Calculus**

how to solve limits?

*July 9, 2012 by John*

**Calculus**

Following 2 questions are from a book at a point where L’Hopital’s Rule, Squeeze Theorem etc. have not been discussed and limits (A) and (B) as given below are to be evaluated by simple methods like algebraic simplification etc. 1. Int. of (xlogx)dx from 0 to 1. Indefinite...

*March 12, 2014 by MS*

**Calculus**

Following 2 questions are from a book at a point where L’Hopital’s Rule, Squeeze Theorem etc. have not been discussed and limits (A) and (B) as given below are to be evaluated by simple methods like algebraic simplification etc. 1. Int. of (xlogx)dx from 0 to 1. Indefinite...

*March 13, 2014 by MS*

**Calculus**

Using the first of these limits, find f'(3) if f(x)=4x^2+4x-2

*September 3, 2009 by Z32*

**Calculus**

Evaluate the following limits (x^2 + 2x - 8)/x-2 Lim x->2

*April 29, 2013 by Drew*

**Calculus**

Show, using limits, that f(x) = x2 – x + 3, is continuous at x = 2.

*March 12, 2014 by Anonymous*

**Calculus - Limits**

lim x--> 3 (3 - x)/ (x^2 - 9) I know the answer is -1/6, but I can't figure out how to get there.

*September 19, 2007 by Jimmy*

**calculus**

Evaluate the Integral ∫1, 0 x^3(1+x^4)^6dx where 1=b 0=a for the limits

*April 30, 2011 by noell*

**Calculus**

Find the indicated limits. Lim x-> 1- sqrt 1 - 1/ x-1

*June 6, 2011 by Robo*

**Calculus 1**

Find the derivative of f'(x) of f(x)=4sqrt(x) using limits

*September 14, 2015 by TayB*

**Calculus**

Determine the following limits if it exists. a. lim x-->5 (4x/x-5)

*April 10, 2016 by Marc*

**Calculus**

Determine the following limits if it exists. a. lim x-->5 (4x/x-5)

*April 11, 2016 by Marc*

**Calculus**

determine all asymtote(s) of f(x)= 1/(x(x-1)^2) using limits

*November 23, 2016 by matt*

**calculus - limits**

limit as x approaches infinity; tan^(-1) (x^2 - x^4) any help is appreciated =D

*October 18, 2009 by Reen*

**calculus - limits**

Does the limit lim 2011t/3-(squareroot)t+9 exist ? t-0

*October 4, 2011 by Whitney*

**Calculus (Limits)**

f(x) is a function differentiable at x=1 and f′(1)=1/13. What is the limit of (x^3 - 1)/f(x) - f(1) as x approaches 1?

*July 21, 2013 by Drake*

**u.s. history**

How does the constitution limit the powers of government? A. The constitution limits the power of government by entitling citizens to a basic standard of living. B. The constitution limits the power of government by giving citizens the power to veto any bill they do not ...

*November 13, 2014 by happy*

**calculus - limits**

can someone help me determine that limit for the following function, as x --> -2? 2 - abs(x) / 2 + x

*October 4, 2009 by thomas*

**calculus**

find the derevative (hint try to use limits) (x^2010 - 1 )\(x -1 )

*February 21, 2010 by Anonymous*

**calculus**

find the derevative (hint try to use limits) (x^2010 - 1 )\(x -1 )as x approaches1

*February 21, 2010 by Anonymous 2*

**calculus-limits**

For f(x) = e^x sinx , what can be said about lim x -> negative infinty? Explain.

*June 16, 2010 by John*

**calculus**

Find the total area enclosed by the functions given below. y=x^2+2x+1 and y=2x+5 limits are -2 to 2

*May 1, 2012 by Lauren*

**Calculus, Limits**

Find the limit. lim t → ∞ (sqrt t + t^2)/(6t − t^2)

*January 20, 2014 by DeeDee*

**Statistics**

Multiple Choice Which of the following statements is true about the 95% confidence interval of the average of a sample? A) 95 of 100 avgs of samples will be within the limits of the confidence interval. B) There is a 95% chance the avg of the population to be within the limits...

*July 26, 2013 by Andrew*

**calculus**

Given the function: y = 2 - x - x^3 use limits to find the slope (and then the equation) of the tangent line at x =2.

*September 25, 2008 by Alex*

**calculus**

Given the function y = 2 - x - x^3 Use limits to find the slope (and then the equation) of the tangent line at x = 2

*September 30, 2008 by Erika*

**CALC-LIMITS**

F(X)= x-2/(x^2-4) is continuous at x=1 and why as limits approach from 1+ and 1-

*December 19, 2012 by daryl*

**Calculus**

Evaluate the triple integral _E (xy)dV where E is a solid tetrahedron with vertices (0,0,0), (4,0,0), (0,1,0), (0,0,4) I just can't seem to find the limits, of x,y and z

*April 26, 2010 by Salman*

**calculus, limits, l'hopital**

Find the limit as x->0 of (2-2cos(x))/(sin(5x)) Mathematically I got 2/5, but on the graph it appears to be 0.

*February 13, 2011 by Kate*

**Calculus**

Use the definition of continuity and properties of limits to show that the function is continues at given a. f(x)=x^2+sqrt(7-x) a=4

*September 12, 2011 by Kevin*

**calculus**

Rotate the region enclosed by the given functions around the x-axis. Determine the volume. y=x^2+2x+1 and y=2x+5 limits are -2 and 2

*May 1, 2012 by Lauren*

**college calculus**

I don't know how to solve this indefinite integral with both limits as variables: ^x^3 ç (z^4+1)dz ⌄ln(x) If you could explain I'd appreciate it.

*November 30, 2013 by tatiana*

**calculus**

For each of the following limits, determine the indicated limit if it exists. lim f(x)=? x approaches 4 from the left f(x)= -3.9997

*October 16, 2016 by tor*

**calculus**

Evaluate the limits without using a calculator. Justify all steps in the solutions. lim x-->0 x^7cos(3/x)

*February 12, 2011 by Janet*

**calculus**

Evaluate the limits without using a calculator. Justify all steps in the solutions. lim x-->0 x^7cos(3/x)

*February 13, 2011 by Janet*

**Calculus**

I am trying to solve the following L'hopital's limits question below: lim x -> 0 from the positive direction of ( 5^(sin(x)) - 1 )/ (x)

*December 8, 2014 by David*

**calculus**

Rotate the region enclosed by the given functions around the x-axis. Determine the volume. y=sqrt(sinx) ; y=0 ; x=0 ;x=pi limits are 0 to pi

*May 1, 2012 by Lauren*

**double integrals**

Combine the following two integrals into one by sketching the region, then switching the order of integration. (sketch the region) im gonna use the S for integral sign..lol SS6ycos(x^3-3x)dxdy+SS6ycos(x^3-3x) And the first integration limits for x are between -1 and y, for y ...

*March 21, 2012 by Mary*

**Math - Arithmetic question**

I have a question about the limits to Arithmetic problems, on my homework I've noticed that so far all of the arithmetic sequences limits are infinite (-infinity or +infinity, I was just wondering if all the limits to Arithmetic problems are to an infinity since 99% of the ...

*November 8, 2015 by Mary*

**Maths (limits)**

how do i evaluated these limits: lim x --> 3 ((square root of x^2 +16)- 5)/(x^2 - 3x) lim x--> to infinity (2+ 100/x)

*February 17, 2010 by Ren*

**AP Calc (Limits on Piecewise Functions)**

I'm trying to find the left, right, and overall limits of this function without using a calculator. Any help/suggestions on how I'm supposed to do this would be very helpful! f(x){ sinx if x<pi/6 tanx if x=pi/6 a=pi/6 cosx if x>pi/6

*January 17, 2015 by Pax*

**Calculus (limits)**

The question is to "state the value of each quantity, if it exists." We are given a piecewise function that is graphed, and no equation. What does it mean when we're asked to find f(2)?

*September 3, 2015 by Kelly*

**Math (Stats)**

What is the difference between class limits and class boundaries? A) Class limits are the numbers that separate classes without forming gaps between them. Class boundaries are the least and greatest numbers that can belong to the class. For integer data, the corresponding ...

*January 13, 2017 by Ray*

**AP Calc (Limits on Piecewise Functions) #2**

I need help trying to find the left, right, and overall limits for this piecewise function without using a calculator. f(x) = { sin(x/3) if x≤pi , (x√ 3)/(2pi)if x>pi} when a=pi

*January 17, 2015 by Pax*

**Calculus**

I'm not sure how to calculate limits from graphs. I've tried many times but I can't figure it out. Are there any sites or tips you can give me? Thank you very much, I really appreciate it.

*September 16, 2007 by Jacob*

**Calculus**

May someone answer this question for me? Thank you! I appreciate it. a.) Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval. f(x)=(2x+3)/(x-2), (2, ∞)

*September 15, 2015 by Anonymous*

**calculus**

f(x)=−x3 −x2 +16x+16 1. Calculate f′(x). 2. Calculate f′′(x). 3. Find the x values such that f(x) = 0. Note: this can be done by factoring. 4. Find the stationary point/s. Note: a point requires x and y coordinates. 5. Determine the nature of this/these point/s. 6. ...

*December 20, 2016 by R*

**Calculus I - Limits**

How do I find lim x-> infinity √(x^2 + x) - √(x^2 - x)

*June 13, 2010 by John*

**calculus**

Compute each of the following limits if they exist. lim 3x^(2)-x-2 x->2 lim (x^(2)+x-6)/(x-2) x->2

*October 26, 2012 by June*

**Calculus**

Find the limits if they exist lim_x->0 x/|x| lim_x->0+ sqr(x+4)

*October 22, 2012 by Nero*

**Calculus**

Show, using the properties of limits, that if lim x-->5 f(x)=3 then lim x---->5 x^2-4/f(x)=7

*February 23, 2016 by Morris*

**Math Limits**

(x^n-1)/((x-1) )=(x-α^1 )×(1-α^2 )×………..(x-α^((n-1)) ) How do we prove that n = the multiplication of the second term using limits and l'hopital's rule.

*February 28, 2013 by Blah*

**calculus**

I don't know if I'm typing it in wrong into my graphing calculator but I need to estimate the limits of sin(8 theta) / theta

*January 31, 2012 by sara*

**Calculus**

Use Riemann sums and limits to compute the area bounded by f(x) = 10x+9 and the x axis between x=10 to x =5 The area is = to

*November 23, 2014 by Anonymous*

**Calculus**

1. Use a graph to estimate the limit. Use radians unless degrees are indicated by θ°. (Round your answer to four decimal places.) lim θ → 0 θ/tan(7θ) 2. Assuming that limits as x → ∞ have the properties for limits as x → c, use ...

*September 28, 2016 by jen*

**Calculus ( finding limits)**

Find the limit as x-->-inf (x+2)^(3/2)+1 ----------I know that the answer is infinity but I don't know how to get this answer by hand. Could someone please help me? Thanks a lot!

*March 6, 2010 by Jess*

**Calculus**

Hey, we covered limits at the beginning of the year, but I cannot remember how to do them at all. >>>what is the limit, as x approaches 2, of ((1/x )-(1/2))/(x-2)? Please go step by step!

*April 18, 2011 by Rachel*

**calculus**

Find the limits Lim(sin kt/t) t approaches 0 and (K is constant) How do you start this and go about it stepwise? Does knowing (K constant) help me to solve this?

*January 20, 2012 by John*

**Calculus**

F(x)=|x-5| evaluate the following limits lim x->5- ( f(x)-f(5))/(x-5) lim x->5+ ( f(x)-f(5))/(x-5)

*October 10, 2012 by Marissa*

**Calculus**

Let R be the region bounded by the curve x=9y-y^2 and the y- axis. Find the volume of the solid resulting from revolving R about the line y= -6. I believe the integral limits are from y=0 to y-9 i set up h(x) = 9y-y^2 r(x) = y+6 I am not sure if this is correct Can anyone help...

*December 4, 2013 by Salome*

**Calculus**

lim(x->infinity) sqrtx sin(1/sqrtx) Someone please start me off. I don't know how to find the limits of trigonometric functions.

*November 5, 2008 by Samantha*

**calculus (limits)**

lim h>0 sqrt(1+h)-1/h not sure how to factor this; not allowed to use L'Hopital's Rule. (that isn't taught at my school until Calc II & I'm in Calc I).

*January 22, 2011 by John*

**Calculus 1**

Find the instantaneous velocity, using limits, for the given value of t of an object moving according the given equation. a. s(t)=t^2–8t+18 ; t=3 b. 𝑠(𝑡)=1/t^2 ; t=1

*September 10, 2015 by TayB*

**Calculus**

I need some help on getting ideas for my limits & continuity calculus project! For the limits project: I have to conduct an "interview with a limit" (Q&A format).I have to include factual information like definitions, properties, theorems, etc. I also have to include sketches...

*October 19, 2008 by RJ*

**calculus**

Evaluate the following limits after identifying the indeterminate form. Use Hospital's rule. d) lim x_0+ (xe^(2x) + 1)^(5/x) e) lim x_(Pi/2)+ (1 + sec3x)^(cot3x) Thank you!

*April 26, 2012 by Tommy*

**Calculus 1**

Evaluate the following limits after identifying the indeterminate form. Use Hospital's rule. d) lim x_0+ (xe^(2x) + 1)^(5/x) e) lim x_(Pi/2)+ (1 + sec3x)^(cot3x) Thank you!

*April 26, 2012 by Tommy*

**calculus**

Find the limits lim_x->2 x^3+x lim_x->2 (x^2-4)/(x-2)

*October 22, 2012 by Naomi*

**Calculus/College Algebra**

I'm so lost. We're working on limits for this assignment and I get that, but my difficulty lies in breaking down the original problem. The problem is: Find the limit: lim (x->5) The numerator is (the square root of 9-x) -2 and the denominator is x-(the square root of x+20...

*February 7, 2007 by Amy*

**Calculus - MathMate Please help**

I asked this question on last thursday and u told me that the bottom limit for the 1st and the right limit for the 2nd area is missing? The question that i posted had no other information and i don't know why you said that the limits are missing. There is no other limits that ...

*November 29, 2010 by K*

**Legal Environment of Bus**

Ethics Question (Legal Environ of Bus)? Various industries have lobbied for legislative restrictions on tort liability. The nuclear power industry has long been protected by a statute that limits its upper-dollar liability in the event of a serious accident. Many companies in ...

*March 4, 2012 by shirley*

**Calculus-limits**

I'm studying for the AP exam and I can't figure this problem out. I thought the answer was negative infinity but that isn't an option. Thank you in advance! What is the limit as x approaches infinity of (9x-x^2-7x^4)/(x^3+12x)? a. 9 b. 7 c. -7/12 d. -7 e. Does not exist

*April 29, 2015 by ashley*

**Absolute Value and Limits**

solve for limits of 1+ and 1- for this function: (x^2 + abs (x-1) - 1)/ abs (x-1) i don't know how to simplify abs. value expression times polynomial. can someone please help.

*March 13, 2013 by Angie*

**consumer math**

amy miller's insurance policy has a $218.00 premium for 25/100 bodily injury limits and $25,000.00 property damage limits. the collision premium is $74.00. amy's driving-rating factor is 2.4. what is her annual premium?

*February 25, 2013 by dylan*

**Calculus-Limits**

i have no clue how to start it. rationalizing it seems to tedious. how do i do this thanks evaluate the limit as h -> 0 ((fourth root(3 + h) - 2(3+h) - fourth root(3) + 6))/h

*April 29, 2013 by Liliana*

**calculus - limits**

In the theory of relativity, the mass of a particle with velocity v is m = m0 / sqrt(1-v^2 / c^2) where m0 is mass of the particle at rest and c is the speed of light. What happens as v approaches c^-?

*October 1, 2009 by Marina*

**calculus**

Find lim (with x¨‡ under it) (x^2-1)/x or state that the limit does not exist. I'm so lost with what to do with limits...I tried to simplify the expression to lim x+lim -1/x, but from there I'm pretty dumbfounded. If anybody could help me out I'd really appreciate it.

*May 23, 2008 by Lisa*

**Calculus**

How would you find the derivative of f(x)=1/sqrtx using limits? I know how to do problems with a fraction or a square root, but I can't figure out how to do one with both. I have tried a few different starts, but always end up getting stuck.

*September 20, 2009 by Katie*

**Calculus**

Determine the limit of the trigonometric function: Limit as x approaches pi/4 of (1-tanx)/(sinx-cosx) I need step by step help using the special trignometric limits theorem.

*September 26, 2012 by Kayla*

**Calculus**

find the value of a, if it exists, such that the following function is continuous at X = 2. piecewise function f(x)={x^2-3x+1, if x>2; a, if x=2; 3-2x, if x<2 I found the limits from left and right of 2 = -1 so the limit exists but I don't know how to figure out a

*June 16, 2016 by Sarah*

**stats**

4. Data from the 2008 General Social Survey (GSS) sample show that the mean number of children per respondent was 1.94 with a standard deviation of 1.70. A total of 2,020 people answered this question. (a) Estimate the population mean number of children per adult using a 90% ...

*July 26, 2012 by taylor quenzler*

**math help please!**

Assuming that limits as x → ∞ have the properties for limits as x → c, use algebraic manipulations to evaluate lim x → ∞ for the function. a. f(x) = x − 2/2 + 6x^2 b. f(x) = x^2 + 6/x + 7 Please help! I do not know how to start with this ...

*September 8, 2015 by Natalie*

**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

*March 24, 2010 by JJ*

**Calc Limits**

lim (1+x)^1/x. Give an exact answer. x->0 This reads: The limits as x approaches zero is (1 plus x) to the 1 divided by x. The log of each term is (1/x) ln (1 + x) = ln (1+x)/x Using L'Hopital's rule for the limit of f(x)/g(x), the limit if the log is lim f'/g' = lim [1/(1+...

*February 16, 2007 by Robert*

**Calculus**

Hello all, I would like some confirmation on a limits question. The limit is as h --> 0, [sqrt [73-5(x+h)] - sqrt (73-5x)]/h I multiplied by the conjugate of the numerator and reduced everything down to this final answer: [(-5)sqrt(73-5x)]/2 Is this correct?

*September 13, 2016 by Tim*

**calculus, limits, l'hopital**

Using l'hopital's rule, find the limit as x approaches infinity of (e^(6/x)-6x)^(X/2) I know l'hopital's rule, but this is seeming to be nightmare. I just don't seem to get anywhere.

*February 9, 2011 by Kate*

**Calculus**

Find the following limits algebraically or explain why they don’t exist. lim x->0 sin5x/2x lim x->0 1-cosx/x lim x->7 |x-7|/x-7 lim x->7 (/x+2)-3/x-7 lim h->0 (2+h)^3-8/h lim t->0 1/t - 1/t^2+t

*March 15, 2012 by angie*

**Statistics**

Construct the appropriate control chart for the observations listed below, using 3 sigma limits. Product Number - Number of defects 1 - 3 2 - 3 3 - 6 4 - 5 5 - 3 6 - 5 7 - 2 8 - 2 9 - 3 10 - 4 11 - 6 a. Determine the upper and lower control limits. b. Discuss the chart you ...

*January 30, 2009 by Johnny*

**intro to computers**

your boss is considering a BYOB program for your company. he asks you if there are any negatives to such a program. what do you tell him? a.it limits the freedom of the user to access the websites and applications.b.it introduces security and control problems. c. it requires ...

*October 30, 2013 by mary*