- #1

- 4

- 0

## Homework Statement

find the following limit: ln((2x)^(2x))/(3x²+1) with x>infinity.

## The Attempt at a Solution

I tried the following: lim ( ln((2x)^(2x))/(3x²+1) ) with x>infity =

lim ( (3x²+1)/ln((2x)^(2x)) ) with x>0

lim 2xln(2x) with x>0 = 0, therefore lim ( (3x²+1)/(2xln(2x)) with x>0 =

1/0 which is infinity, a simple plot however shows this is wrong, could someone help me?

Last edited: