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Taylor Series

  1. Feb 1, 2008 #1
    1. The problem statement, all variables and given/known data

    Find the Taylor series for f(x) = sin x centered at a = pi / 2

    2. Relevant equations

    3. The attempt at a solution

    Taylor series is a new series for me.

    I believe the first step is to start taking the derivative of the Taylor series.

    f(x) = sinx
    f'(x) = cosx
    f''(x) = -sinx
    f'''(x) = -cosx
    f(4)x= sinx
    f(n)x = sin(x)^n

    now do i start plugging in the a = pi/2 for x?
    Okay, not sure what i'm trying to prove with a taylor series, and why to use it, whats next.

    Also, I have to prove that the series converges to sinx on (-infinity, infinity)

  2. jcsd
  3. Feb 1, 2008 #2


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