(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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]

2. Relevant equations

..

3. 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

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# Homework Help: Finding the interval of convergence and the radius of a power series

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