What is the Radius of Convergence for ∑[(2n+1)/2n] x^n?

[kgarcia3]

Homework Statement

Find the radius of convergence of the following power series: ∑_(n=0)^∞[(2n+1)/2n] x^n)

Homework Equations

Ratio Test: lim_n->inf (a_n+1 / a_n)

The Attempt at a Solution

I got a big ugly fraction that involved both n and x

 

[vela]

Show us what you got.

 

[icystrike]

Homework Statement

Find the radius of convergence of the following power series: ∑_(n=0)^∞[(2n+1)/2n] x^n)

Homework Equations

Ratio Test: lim_n->inf (a_n+1 / a_n)

The Attempt at a Solution

I got a big ugly fraction that involved both n and x

You should be able to get a second degree polynomial on the numerator and denominator... then apply L'Hopital rule.. why not show us the fraction you've gotten