How to find the center of the power series.

Question

$\sum _{ n=0 }^{ \infty }{ \frac { 2n(x+1)^ n }{ 3^ n } } $

I think it to be (x-(-1))= so, the center is -1

Yes, it is $-1$. – José Carlos Santos May 07 '18 at 13:30 — José Carlos Santos, May 07 '18 at 13:30

score 1 · Accepted Answer · answered May 07 '18 at 13:32

1

By definition a power series $\Sigma a_n(x-x_0)^n$ is centered at $x_0$. So in your problem it's indeed centered at -1

answered May 07 '18 at 13:32

Macrophage

1 Answers1