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Math Help - Finding Asymptotes

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    Finding Asymptotes

    How do I find the asymptotes for f(x)=(x^5)-15x^3?
    Also, for f(x)=(x^2)(e^(-x))
    Do I find the limits of x approaching +/- infinity?
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  2. #2
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    Quote Originally Posted by Jiyongie View Post
    How do I find the asymptotes for f(x)=(x^5)-15x^3?
    Also, for f(x)=(x^2)(e^(-x))
    Do I find the limits of x approaching +/- infinity?
    1. The 1st function doesn't have any asymptotes.

    2. Since \lim_{x \to +\infty}\left(e^{-x}\right) = 0 you'll get the asymptote y = 0 if x approaches +\infty.

    There doesn't exist an asymptote if x approaches -\infty.
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