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Math Help - [SOLVED] Horizontal Asymptote for Equation with e

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    [SOLVED] Horizontal Asymptote for Equation with e



    The question asks to find 2 horizontal asymptotes. So I guess you find what y is when x approaches infinity? I don't know how to simplify such a limit though. Is there specific steps to doing so? or do you just think about it.

    Thanks!
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  2. #2
    Super Member Matt Westwood's Avatar
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    Quote Originally Posted by electricsparks View Post


    The question asks to find 2 horizontal asymptotes. So I guess you find what y is when x approaches infinity? I don't know how to simplify such a limit though. Is there specific steps to doing so? or do you just think about it.

    Thanks!
    There's 2 things you can do here.

    One of them is to see what happens to e^x when x \to -\infty. That will give you the left hand asymptote straight out.

    A useful technique here is to divide top and bottom by e^x. Then you get something on both top and bottom which are then manageable when x \to +\infty.

    Hence your asymptotes.
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