- #1

- 19

- 0

## Homework Statement

Find the radius and interval of convergence of the power series:

[tex]\sum_{n=1}^{\infty} \frac{x^{2n-1}}{(n+1)\sqrt{n}}[/tex]

## Homework Equations

..

## The Attempt at a Solution

My soltion:

the ratio test will gives |x^2|=|x|^2

it converges if |x|^2 < 1

i.e. if |x|<1

i.e. if -1<x<1

But the problem here when i substitute x=1 and x=-1 it will give the same series

Is this right?

The resulting series converges by Integral Test.

Radius = 1