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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- Jan 4th 2009, 04:23 PMjenny woodlandBinomial 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. - Jan 4th 2009, 04:37 PMMush
Blah...

- Jan 4th 2009, 04:41 PMJester
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?) - Jan 5th 2009, 02:31 AMjenny woodlandRe: Binomal Theroem
Thanks for that answer, Danny.