AP Calculus AB

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

  1. 👍 0
  2. 👎 0
  3. 👁 181
  1. wouldn't it be the same as Lim sinx * lim sinx/x=0*1=0?

    lim ab= lim a * lim b in my part of the woods.

  2. the limit of ab does not always = the limit of a * limit b

    use lpatls rule i am probboly spelling that wrong but it says that the limit at x approches a of f/g = the limit as x approches a of f'/g' this is only true if the function is of the indeterminate for 0/0 or infinity/infinity

    you have 0/0 that is lim of sin(2x) as x approches 0 is 0 and the lim of x as x approches 0 is 0

    f=sin(2x) g=x f'=cos(2x)*2 g'=1

    the lim as x approches 0 of sin(2x)/(x)=

    the lim as x approches 0 of cos(2x)

    cos(0)=1

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calc 1

    The point (1,0) lies on the curve y=sin(10π/x). A) if Q is the point (x,sin(10π/x), find the slope of the secant line PQ. Points are 2,1.5,1.4,1.3,1.2,1.1,0.5,0.6,0.7,0.8,0.9 Do slopes appear to be approaching a limit? There is

    asked by Feather on January 23, 2016
  2. 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

    asked by Josie on January 25, 2011
  3. 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

    asked by ANONYMOUS on May 31, 2012
  4. 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

    asked by Sybil Jones on September 24, 2011
  5. 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 +

    asked by hayden on February 23, 2009
  1. calculus

    find max, min and saddle points of the give function f(x,y)=sin(x)+sin(y)+sin(x+y) 0

    asked by Help Please on March 9, 2012
  2. Calculus Limits

    Question: If lim(f(x)/x)=-5 as x approaches 0, then lim(x^2(f(-1/x^2))) as x approaches infinity is equal to (a) 5 (b) -5 (c) -infinity (d) 1/5 (e) none of these The answer key says (a) 5. So this is what I know: Since

    asked by Anonymous on March 2, 2019
  3. Calculus

    lim x-->0+ f(x), where f(x)= x ln x values for x are 1,0.5,0.1,0.05,0.01,0.005,0.001 when i plugged in 1 i got 0 then -.34657 then -.23025 ................... leading up to -0.00690 what is the value of the limit is it approaching

    asked by Jake on August 29, 2010
  4. 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

    asked by Kali on September 6, 2006
  5. 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

    asked by Anonymous on December 11, 2019
  6. 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

    asked by ANONYMOUS on May 31, 2012

You can view more similar questions or ask a new question.