Thursday
December 18, 2014

Search: calculus - limits

Number of results: 13,951

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

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

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 LíHopitalís 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 Int...
March 12, 2014 by MS

Calculus
Following 2 questions are from a book at a point where LíHopitalís 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 Int...
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 Ė 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 - 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 ĀÁ (z^4+1)dz ⌄ln(x) If you could explain I'd appreciate it.
November 30, 2013 by tatiana

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

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

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 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

Math Limits
(x^n-1)/((x-1) )=(x-α^1 )◊(1-α^2 )◊ÖÖÖ..(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 ( 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
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/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
Find the limits lim_x->2 x^3+x lim_x->2 (x^2-4)/(x-2)
October 22, 2012 by Naomi

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

Absolute Value and Limits
solve for limits of 1+ and 1- for this function: (x^2 + abs (x-1) - 1)/ abs (x-1) i dont know how to simplify abs. value expression times polynomial. can someone please help.
March 13, 2013 by Angie

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 dont know why you said that the limits are missing. There is no other limits that ...
November 29, 2010 by K

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 xĀ®Āá 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

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

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

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-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

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

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

Calculus
Find the following limits algebraically or explain why they donít 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

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

into computers
Your boss is considering a BYOD 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 websites and applications. B. It introduces security and control problems. C. It requires ...
November 20, 2013 by Ava

calculus, limits, l'hopital
Using l'hopital's rule, find the limit as x approaches zero 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. I mistyped the first time I posted this question.
February 9, 2011 by Kate

Math - Beginning Calculus
Why does lim10^(3-x) as x approaches infinity = 0? And why does lim10^(1/x) as x approaches infinity = 1? Are properties of infinite limits involved here?
February 6, 2010 by Stuck

Calculus (Derivatives)
What is the derivative of the this functon? g(x) = -500/x, x cannot equal 0. I know that in order to fnd the derivative I need to put the function into the equation for evaluating derivatives as limits. lim as h -> 0 (f(x+h) - f(x))/h I did this, but I am having ...
November 1, 2011 by Mishaka

Introduction to computers
Your boss is considering a BYOD 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 websites and applications. B. It introduces security and control problems. C. It requires ...
November 7, 2013 by Lisette

Calculus I
We're reviewing limits from the previous chapter, but I'm still having some difficulty with some problems: lim tan(pi(x/4)) as x-> -7 lim (x^2 - x^3(cos(1/x))/3x^2 as x-> 0 I know the answer to the first problem is 1 and to the second problem it's 1/3 but I'm not sure ...
January 30, 2012 by Emily

Calculus
I am sorry. I am really struggling with limits. I am not sure of an answer for this problem either: Show an example that the limit as x goes to a f(x) goes to [f(x)+g(x)] may exist even though neither the limit as x goes to a f(x) approaches f(x) or g(x) exist.
September 18, 2010 by John

Calculus
Determine the behavior of limits A. Limit as x approaches 1 of: (log x)/((x-1)^2) B. Limit as x approaches infinity of: ((x-1)^2)/(log x))
April 21, 2014 by Tim

calculus
The following definite integral can be evaluated by subtracting F(B) - F(A), where F(B) and F(A) are found from substituting the limits of integration. \int_{0}^{4} \frac{1600 x +1200 }{(2 x^2 +3 x +1)^5}dx After substitution, the upper limit of integration (B) is : and the ...
March 8, 2014 by ricky

Calculus; Limits
Evaluate limit, x -> a, [(x + 4a)^2 - 25a^2] / [x - a] My work: = limit, x -> a, (x^2 + 8ax + 16a^2 - 25a^2) / (x - a) = limit, x -> a, (x^2 + 8ax - 9a^2) / (x - a) = limit, x -> a, (x + 8a - 9a^2) / (-a) = (a + 8a - 9a^2) / (-a) = 9a^2 - 8a + 1 Textbook Answer: ...
April 15, 2008 by Anonymous

Calculus- limits
f(x) = x + 7 if x < or equal to 5 F(x) = 7 if x >5 what is the limit as x is approaching 5 from the left side????? I know that the limit as x approaches to 2 does not exist and that the limit as x is approaching 5 from the right side is 7
April 15, 2008 by Ethan

astronomy
The parallax of the red giant Betelguese is just barely measurable and has a value of about 0.005 arc seconds. What is its distance? Suppose the measurement is in error by + or -0.003 arc seconds. What limits can you set on its distance? 1/0.005 = 200 parsecs. Convert that to ...
April 30, 2007 by rohit

calculus
Which of the following best describes the limit as x approaches 4 of the quotient of 2 times x divided by the quantity negative 2 plus square root of x ? It exists and equals 4 It fails to exist because it is unbounded. It fails to exist because its one-sided limits are not ...
February 5, 2014 by lisa

Calculus..more help!
I have a question relating to limits that I solved lim(x-->0) (1-cosx)/2x^2 I multiplied the numerator and denominator by (1+cosx) to get lim(x->0) (1-cos^2x)/2x^2(1+cosx) = lim(x->0)sin^2x/2x^2(1+cosx) the lim(x->0) (sinx/x)^2 would =1 I then substituted the ...
February 21, 2009 by Alex

How to get quick responses to your math questions
Math is a wide subject, ranging from K to 11, college and university. Then there is algebra, trigonometry, geometry, arithmetic, calculus, number theory, ... etc. Not all teachers answer all math questions (many do). If you would give a little more detail on which branch of ...
May 25, 2013 by MathMate

calculus
A machine on an assembly line fills cans with quantities of food that are normally distributed with a standard deviation of 0.057 pounds. The mean quantity filled is estimated using a sample of 100 cans. What is the difference between the upper and lower limits of the 95% ...
November 27, 2012 by taz

Integral calculus
A particle is put inside an accelerator at time t=0. After t sec, its velocity is 10^5t^2 m/s. How far does the particle move during the first 10**-2 sec? distance= int velocity dt = INT 1E5 t^2 dt limits 0 to 1E-2 sec
April 13, 2007 by Febby

Calculus: limits
Evaluate the limit at t --> 25: [25 - t] / [5 - √(t)] I multiplied it by √(x + 3) to get rid of the square root on the bottom. However, once I'm done distributing it out, I'm not sure I'm doing it right. I get [x√(x+3) + 2x - 2] / [x + 5] Once I plug in 25...
October 15, 2009 by Kay

Calculus
Find the indicated limits. If the limit does not exist, so state, or use the symbol + ∞ or - ∞. f(x) = { 2 - x if x ≤ 3 { -1 + 3x - x^2 if x > 3 a) lim 3+ f(x) x->3 b) lim 3- f(x) x->3 c) lim f(x) x->3 d) lim ∞ f(x) x->3 e) lim -∞ f...
October 8, 2011 by Blue

Calculus
Find the indicated limits. If the limit does not exist, so state, or use the symbol + ∞ or - ∞. f(x) = { 2 - x if x ≤ 3 { -1 + 3x - x^2 if x > 3 a) lim 3+ f(x) x->3 b) lim 3- f(x) x->3 c) lim f(x) x->3 d) lim ∞ f(x) x->3 e) lim -∞ f...
October 9, 2011 by Chris

Calculus
Find the indicated one sided limits of f. f(x)= (x^2+8)/(x^2-25) what is the limit as x goes to -5+(from the right side)? What is the limit as x goes to 5+(from the right side?
January 25, 2013 by Anonymous

Calculus Need of Urgent help
find the indicated limits, if they exist. 1. lim (3x^3+x^2+1)/(x^3+1) x-> -infinity 2. find the slope of the tangent line to the graph of the given function at any point: f(x) = 2x +7 Could anyone please, please, please explain to me how to do these problems? It seems like ...
February 8, 2011 by Anonymous

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