# Math Help - Binomial Theorem

1. ## 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.

2. Blah...

3. 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

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

and look for an expansion for $\left( 1 + x\right)^{-1}$ (once again, too slow. Mush - I don't understand?)