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Math Help - [SOLVED] Limits

  1. #1
    Member >_<SHY_GUY>_<'s Avatar
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    Question [SOLVED] Limits

    Im stuck on what to do in order to get rid of the fraction in the numerator:

    lim x->0 [(1)/(2+x) - (1)/(2)] / x

    do i multiply by 2+x? how?
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  2. #2
    Flow Master
    mr fantastic's Avatar
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    Quote Originally Posted by >_<SHY_GUY>_< View Post
    Im stuck on what to do in order to get rid of the fraction in the numerator:

    lim x->0 [(1)/(2+x) - (1)/(2)] / x

    do i multiply by 2+x? how?
    Note that \frac{1}{2 + x} - \frac{1}{2} = \frac{2 - (2 + x)}{2(2 + x)} = -\frac{x}{2(2 + x)}.
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  3. #3
    Member >_<SHY_GUY>_<'s Avatar
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    oh! thank you so much...i get it now :]
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