(adsbygoogle = window.adsbygoogle || []).push({}); Finding the radius of convergence....

1. The problem statement, all variables and given/known data

1+2x+(4x^(2)/2!)+(8x^(3)/3!)+(16x^(4)/4!)+(32x^(5)/5!)+...

2. Relevant equations

I would use the ratio test. Which is....

lim as n→∞ (An+1/An)

3. The attempt at a solution

I know what to do to find the answer, but I don't know how to find the expression for the provided series.

I'm guessing it's ((2x^(n))/n!), then work with the ratio test from there?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding the radius of convergence

**Physics Forums | Science Articles, Homework Help, Discussion**