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Math Help - Binomial Theorem

  1. #1
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    Binomial Theorem

    Is it possible to solve this problem? If so , how do I go about it?

    Expand the following equation (1 +1/x) ^ -1 in ascending powers of x up to and including the term in X^3.
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  2. #2
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    Blah...
    Last edited by Mush; January 4th 2009 at 04:44 PM. Reason: Ignore
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  3. #3
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    Quote Originally Posted by jenny woodland View Post
    Is it possible to solve this problem? If so , how do I go about it?

    Expand the following equation (1 +1/x) ^ -1 in ascending powers of x up to and including the term in X^3.
    Try

    \left( 1 + \frac{1}{x} \right)^{-1} = \left( \frac{1+x}{x} \right) ^{-1} = \frac{x}{1+x} = x \left( 1 + x\right)^{-1}

    and look for an expansion for  \left( 1 + x\right)^{-1} (once again, too slow. Mush - I don't understand?)
    Last edited by Jester; January 4th 2009 at 05:02 PM.
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    Re: Binomal Theroem

    Thanks for that answer, Danny.
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