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Math Help - Easy- Limit

  1. #1
    Junior Member Greymalkin's Avatar
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    Easy- Limit

    \lim_{x\to\0}\frac{x}{\frac{1}{6}+\frac{1}{x-6}} I keep getting 36(36), actual answer is-36.

    I get \frac{x(6(x-6))}{\frac{6+x-6}{6(x-6)}} which equals (6(x-6))(6(x-6))

    What have I done wrong?
    Last edited by Greymalkin; October 2nd 2012 at 04:27 AM.
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  2. #2
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    Re: Easy- Limit

    Quote Originally Posted by Greymalkin View Post
    \lim_{x\to\0}\frac{x}{\frac{1}{6}+\frac{1}{x-6}} I keep getting 36(36), actual answer is-36.
    I get \frac{x(6(x-6))}{\frac{6+x-6}{6(x-6)}} which equals (6(x-6))(6(x-6))
    \frac{x}{\frac{1}{6}+\frac{1}{x-6}}=\frac{6x(x-6)}{x}=6x-36
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