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Math Help - asymptote problem

  1. #1
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    Wink asymptote problem

    my book doesn't list this one.

    lim f(x)=5
    x-> a+

    a.horizontal asymptote
    b.vertical asymptote
    c.both
    d.neither

    (notice it's as x approaches a from the right)
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  2. #2
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    Quote Originally Posted by xSMUxCHEERLEADINGx View Post
    my book doesn't list this one.

    lim f(x)=5
    x-> a+

    a.horizontal asymptote
    b.vertical asymptote
    c.both
    d.neither

    (notice it's as x approaches a from the right)
    This isn't an asymptote, it's a limit...

    And since you're finding the limit of a constant, the limit IS that constant.
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  3. #3
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    Quote Originally Posted by xSMUxCHEERLEADINGx View Post
    my book doesn't list this one.

    lim f(x)=5
    x-> a+

    a.horizontal asymptote
    b.vertical asymptote
    c.both
    d.neither

    (notice it's as x approaches a from the right)
    It can't be a vertical asymptote because the y-value is constant. So b and c are out. I would say neither because a horizontal asymptote deals with x going to infinity and the function being bounded and this looks just like a one sided limit.
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