AP Calculus AB

posted by .

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

  • AP Calculus AB -

    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.

  • AP Calculus AB -

    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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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?
  2. 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?
  3. calculus

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

    Have some more that I do not understand. Limit theta approaching zero SinTheta minus Tan theta/ sin cubed theta
  5. 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
  6. HS Calculus

    Help Have some more that I do not understand. Limit theta approaching zero SinTheta minus Tan theta/ sin cubed theta
  7. 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
  8. 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 …
  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?
  10. calculus

    I have a definition lim theta approaching 0 sin theta/theta = 1 so show if the limit x approaching 0 sin2x/5=2/5

More Similar Questions