Does the series #sum_{n=1}^oo (5n)^(3n)/(5^n+3)^n# diverge or converge?
2 Answers
In order to find the result, you must use the Ratio Test.
Explanation:
The ratio test says that :
So, you'll reach
Take each term of the two different terms and use the natural logarithm and L'Hôspital's rule.
See below.
Explanation:
now
now for
and then for
hence