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Math Help - horizontal asymptotes

  1. #1
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    horizontal asymptotes

    15x
    ____

    (x^4 + 1)^(1/4)

    i dont know what to do, do i divide each term by x^4 ? its what i did and i got the wrong answer unless i did it wrong
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  2. #2
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    Quote Originally Posted by wannous View Post
    15x
    ____

    (x^4 + 1)^(1/4)

    i dont know what to do, do i divide each term by x^4 ? its what i did and i got the wrong answer unless i did it wrong
    To get a clearer relationship between numerator and denominator,
    write the x part of the numerator to the power of 0.25

    \frac{15\left(x^4\right)^{\frac{1}{4}}}{\left(x^4+  1\right)^{\frac{1}{4}}}

    =15\left(\frac{x^4}{x^4+1}\right)^{\frac{1}{4}}

    now the limit as x approaches infinity is clearer.
    Refer back to your original expression for the polarity as x goes to plus or minus infinity.
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  3. #3
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    Quote Originally Posted by wannous View Post
    15x
    ____

    (x^4 + 1)^(1/4)

    i dont know what to do, do i divide each term by x^4 ? its what i did and i got the wrong answer unless i did it wrong
    ... divide by \textcolor{red}{x = (x^4)^{\frac{1}{4}}}
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