Question

Find the radius of convergence and interval of convergence of the series.

There is an infinity sign on top of the summation symbol and "n=1" underneath it. To the right of the summation symbol is x^n/5n!

How would you find the radius of convergence and interval of convergence?
Explanation along the step by step process would greatly be appreciated, especially with problems dealing with factorials.

Thank you.

Answer 1

This looks suspiciously like 1/5 e^x which converges everywhere.