Question

Use the ratio test and find the radius of convergence of the following series

Answer 1

\[\sum_{n=1}^{\infty}\frac{ x ^{n} }{ n ^{\frac{ 3 }{ 2 }}3^{n} }\]

Answer 2

You must find this limit:
\[\lim_{n \rightarrow \infty}\frac{ a _{n+1}^{} }{ a _{n} }\]

Answer 3

do you have troubles substituing?

Answer 4

Yeah, I know, but I wasnt sure which terms I could cancel as n->infinity

Answer 5

well I'll show you

Answer 6

Ok thanks