1. ## Squeeze Theorem Problem

prove lim as x approaches pi/2 of cos(x)cos(tanx)

Why is the limit 1?

My work so far:

-costanx <= cosxcos(tanx) <= costanx

-1 <= cosxcos(tanx) <= 1 (limit of costanx)

2. ## Re: Squeeze Theorem Problem

$0\leq |\cos x \cos (\tan x)|\leq |\cos x|$

why is the limit 1?

3. ## Re: Squeeze Theorem Problem

Originally Posted by lc99
prove lim as x approaches pi/2 of cos(x)cos(tanx)

Why is the limit 1?
Why do you think the limit is $1~?$ See here.