Calculating Radius of Convergence for Power Series | Limsupreme Challenge

[betty2301]

Homework Statement

Calculate the radius of convergence of \sum_{n=0}^\infty a_{n}^{2}z^{n}
let \sum_{n=0}^\infty a_{n}z^{n}RADIUS R

Homework Equations

\limsup|a_n|^{\frac{1}{n}}=\limsup |\frac{a_{n+1}}{a_n}|

The Attempt at a Solution

the latex is killin me please help....

 

[snipez90]

Again this should be straightforward. Just compute one of the limits under relevant equations using the coefficients for your new power series and relate this to R.