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## 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

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