Question

please help me...for the power series summation of n^4x^n/2(n-1)factorial....find the radius
i am guessing the radius is either x or x/2 but i am still not sure..CAN someone help me plz?

PLZ HELP ME...i don't know where to start

Take the ratio of two succesive terms and take the limit n --> infinity. For finite x the limit is zero, which means that the radius of convergence is infinity. In general, the radius of convergence is that value for x you have to substitute in the above limit to make it equal to 1. In this case the limit is zero for all x.

so the radius would be x right?

Related Questions

f(x)=x^2/4+x^3 find the power series representation...so far i found ...Óx^2n+2/4^n...is dat corre... please help me...for the power series summation of n^4x^n/2(n-1)factorial....find the radius and i... Find the radius of convergence and interval of convergence of the series. There is an infinity... State the convergence/divergence for the series the summation from n equals 1 to infinity of the pro...