# Taylor Series

1. Feb 1, 2008

### rcmango

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)

Thanks.

2. Feb 1, 2008