Math Is Fun Forum

virtualinsanity

Member

Registered: 2007-03-11

Posts: 38

Interval and radius of convergence

This problem is puzzling me so any help would be greatly appreciated!

Find the interval and the radius of convergence for the the following series.
a) The Maclaurin series for f(x)=xe^x

So far, I've multiplied the series for e^x by x and I've gotten:

x+x^2 +x^3/2! + x^4/3!...

However, I'm confused about what to do next....