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Math Help - [SOLVED] Asymptote

  1. #1
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    [SOLVED] Asymptote

    X^4-2x^3
    ----------
    X-2


    label the points of asymptote
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  2. #2
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    \frac{x^4 -2x^3}{x-2} = \frac{x^3(x-2)}{x-2} = x^3

    It doesn't have an asymptote
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  3. #3
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    does making the limit x-->2 change that fact?

    im just asking because the problem says to mark the asymptotes
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  4. #4
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    No it just means that there is a 'hole' at x = 2.

    Taking the limit as x approaches 2 would tell you what value would be at this 'hole'.
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  5. #5
    Super Member 11rdc11's Avatar
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    Nope try graphing it and see that it has no asymptote. It always a good to see things graphically as well as algebrically.


    \lim_{x \to 2} \frac{x^3(x-2)}{x-2}= 8
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