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**1. Homework Statement**

Prove that the following sums only converge at 0.

sum of: e^(n^2)*x^n , and

sum of: e*n^(n)*x^(n)

**2. Homework Equations**

well i know series converge if the lim as n approaches inf of the abs(x-c) is less than (An/An+1) but I have no idea how to prove it, I saw these for the first time yesterday in class, and dont know much about it.

**3. The Attempt at a Solution**