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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Last edited by Mush; Jan 4th 2009 at 04:44 PM. Reason: Ignore
Originally Posted by jenny woodland 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 $\displaystyle \left( 1 + \frac{1}{x} \right)^{-1} = \left( \frac{1+x}{x} \right) ^{-1} = \frac{x}{1+x} = x \left( 1 + x\right)^{-1}$ and look for an expansion for $\displaystyle \left( 1 + x\right)^{-1}$ (once again, too slow. Mush - I don't understand?)
Last edited by Jester; Jan 4th 2009 at 05:02 PM.
Thanks for that answer, Danny.
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