- #1

rcmango

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## Homework Statement

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

## Homework Equations

## 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, what's next.

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

Thanks.