what is the radius of convergence of the power series when an is given as

what is the radius of convergence of the power series Σan xⁿ, where

a0=1, ,2<= |an| <= 3 for all n>=1 ?

regards. thanx in advance.

Re: what is the radius of convergence of the power series when an is given as

Quote:

Originally Posted by

**sorv1986** what is the radius of convergence of the power series Σan xⁿ, where a0=1, ,2<= |an| <= 3 for all n>=1 ?

__Hint__ : $\displaystyle 1=\limsup \sqrt[n]{2}\leq \limsup \sqrt[n]{|a_n|}\leq \limsup \sqrt[n]{3}=1$

Re: what is the radius of convergence of the power series when an is given as