Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that
Rn(x) → 0.]

f(x) = sin(pix/5)

Question

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that 
Rn(x) → 0.]

f(x) = sin(pix/5)

tkhunny · Answer

Can you do this for g(x) = sin(x)?

anonymous · Answer

I have the thing for sin, but how do i get from sin to what the problem is asking?

zzr0ck3r · Answer

put pix/5 where you see an x

tkhunny · Answer

Kind of amazing that it is often that simple.  One does need to think about convergence, but it just works out pretty often.

anonymous · Answer

Why do you insert pix/5 in x, though?

anonymous · Answer

The answer comes out to be ((-1)^n)((-pi/2)+(pix/5))^2n all over 2n!

anonymous · Answer

And I'm not even sure where the pi/2 came from.