1. Determine the raius of convergence and interval of convergence of the power series [itex]\sum[/itex] from n=1 to [itex]\infty[/itex] (3+(-1)n)nxn. 2. Usually when finding the radius of convergence of a power series I start off by using the ratio test: limn[itex]\rightarrow[/itex]∞|((3+(-1)n+1)n+1xn+1/ (3+(-1)n)nxn| But this limit does not exist since this equation is just oscillating between 0 and +infinity. Is there a radius of convergence?