Limit involving natural log

Homework Statement

Find the limit of (tanx)^cosx as x-->infinity
Rearrange the equation so that you can use L'Hopital's rule for the form of (infinity/infinity)

The Attempt at a Solution

I did ln(tanx)^cosx = cosxlntanx
I know the limit of tanx as x-->infinity is pi/2
the limit of cosx as x-->infinity is infinity

Now, I don't know where to go from here

Last edited:

nicksauce
Homework Helper
"the limit of cosx as x-->infinity is 1 (or is it infinity?)"
That limit doesn't exist.

Oh okay. So now I have infinity x infinity. I can use L'Hopital's rule but I don't know how to set up the function.

HallsofIvy