1. The problem statement, all variables and given/known data does the series (Sigma) 4^n/e^n^5 converge or diverge? 2. Relevant equations 3. The attempt at a solution[/b just got out of a test where this was asked and my teacher told me I had to use the integral test however I think using direct comparison to a known geometric series could work as well. here is what i thought of... 4^n/e^n^5 < 1/e^n^5 , where the latter is a convergent geometric series (constant raised to a variable power) that n^5 is throwing me off but does my reasoning make sense at all?