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Math Help - asymptote help

  1. #1
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    asymptote help

    does (x-2) / (2x^2 +3X - 5) have any horizontal asymptote

    PS i think its none.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: asymptote help

    What do you find when you evaluate:

    \lim_{x\to\pm\infty}\frac{x-2}{2x^2+3x-5} ?
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  3. #3
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    Re: asymptote help

    limit of positive infinity is 0 and the limit of negative infinity is 0
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: asymptote help

    Yes, so that means you have a horizontal asymptote of y=0, i.e., the x-axis.
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  5. #5
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    Re: asymptote help

    thanks and if the limit of lets say f(x) is infinity does that mean that there is no horizontal asymptote.
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  6. #6
    MHF Contributor MarkFL's Avatar
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    Re: asymptote help

    Right. In this case there could be an oblique asymptote, but not a horizontal one.
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