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Thread: Squeeze Theorem Problem

  1. #1
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    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)
    Last edited by lc99; Oct 8th 2017 at 07:54 PM.
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  2. #2
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    Re: Squeeze Theorem Problem

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

    why is the limit 1?
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  3. #3
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    Re: Squeeze Theorem Problem

    Quote Originally Posted by lc99 View Post
    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.
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