Question

I'm reviewing how to find the interval of convergence for power series, for dealing with ODE's. Prompt posted below momentarily.

Answer 1

\[\sum_{n=1}^{\infty}\frac{(-1)^n}{n}x^n\]Just don't remember where to even start, looking up how to do this again now.

Answer 2

@ganeshie8

Answer 3

Alright, so would a root test be appropriate, or how should I go about this?

Answer 4

@dan815

Answer 5

"Find the interval and radius of convergence of the given power series" is the prompt, for clarity.

Answer 6

I'm under the impression that the power series will converge for x=0, is this correct?