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Math Help - asymptotes

  1. #1
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    asymptotes

    The horizontal asymptotes of the curve
    are given by



    where .
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  2. #2
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by sjara View Post
    The horizontal asymptotes of the curve
    are given by



    where .
    When the magnitude of x is large, \frac{15x}{(x^4+1)^{1/4}}\sim\frac{15x}{(x^4)^{1/4}}

    So what are the asymptotes?
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  3. #3
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    still no idea
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  4. #4
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by redsoxfan325 View Post
    When the magnitude of x is large, \frac{15x}{(x^4+1)^{1/4}}\sim\frac{15x}{(x^4)^{1/4}}

    So what are the asymptotes?
    (x^4)^{1/4}=|x| so you need to find the asymptotes of \frac{15x}{|x|}.

    Take two cases: (1) x is positive and (2) x is negative. What are the asymptotes in each of these cases?
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  5. #5
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    ahhh i see..

    +/- 15

    i didnt fully understand why you took out the '+1' in the beginning until just now
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  6. #6
    Super Member redsoxfan325's Avatar
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    Yup.
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