Question

Find the limit

Answer 1

\[\lim_{n \rightarrow \infty}\left| \frac{ (n+1)^{10^{100+n+11}} }{ 10^{2n+1} n^{n+10^{100}}} \right|\]

Answer 2

This is apparently equal to 0 but I am having trouble figuring out how. Any ideas?

Answer 3

use yoour braaaaaaaaaain

Answer 4

lol jk

Answer 5

I did lol. THis was after trying to prove the convergen e of a crazy series using ratio test.

Answer 6

Okay I managed to simplify it down to:

\[\lim_{n \rightarrow \infty} \frac{ (n+1)^{11} }{ 10^{2n+1} }\]

This is 0. How?

Answer 7

GOt it. Never mind.