- #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.