(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What is the limit as n approaches infinity of: (4n+2^n)/(5n+3^n)

AND

Does the series from 1 to infinity of (1+n)/sqrt(1+n^6) converge absolutely, conditionally or diverge?

2. Relevant equations

L'hopital's rule, convergence tests...

3. The attempt at a solution

For the limit, I attempted to use l'hopital's rule but was left stuck with a 2^n*ln2 at the top and a 3^n*ln3 at the bottom.

For the series question, I had no idea which test to use :S

Any help would be greatly appreciated!

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# Homework Help: Limit and Convergence Questions

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