Question

Limits quesiton

Answer 1

\[lim \frac{ x ^{99} }{ e^x }\]
\[\lim \frac{ lnx }{ x ^{99} }\]
\[\lim \frac{ e^x }{ lnx }\]

All of these are limits as x approaches infintiy

Answer 2

natural log grows slower than any power of x.
exponential grows faster than any power of x.

This information should help you to determine who is "winning" in each of these situations.

Answer 3

infinity (not sure 100%)
zero
infinity

Answer 4

@Abbles i think ur answers are 0, 0 and infinity,
i can post a quick solution if needed

Answer 5

Thanks guys :) Zep, my Calculus midterm coming up :D This monday

Answer 6

Ooo exciting!