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Math Help - sketch the graph arctan(e^x)

  1. #1
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    sketch the graph arctan(e^x)

    we are looking for all the components of the graph of arctan(e^x). We have arrived at a snag with the limit as x approches infinity. We think we have arrived at 0, which makes sense, but arent there supposed to be two? is 1/2e^2x(1/1+e^2x) the correct result of using lhospitales theorem.... at a snag here..
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  2. #2
    Super Member
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    Jun 2008
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    I assume you're trying to find the horizontal asymptotes of the \arctan(e^x)

    \lim_{x \to \infty} \arctan{e^x} = \frac{\pi}{2}

    \lim_{x \to \infty} \arctan{e^x} = 0

    Do you see why?
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