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# C4 - Rational Functions Watch

1. Express in terms of partial fractions and hence, or otherwise, obtain the first three terms in the expansion of this expression in ascending powers of x. State the values of x for which the expansion is valid.

x = -2

x = 1/2

Therefore

I have no clue what the rest of the question wants. Can somebody put me in the right direction?
2. Expand your two new fractions for the first 3 terms (x^0 ,x^1 and x^2) and then add the coefficients.

Have you done binomial expansion but not for integers yet? (Can't remember the proper name )

Consider the formula for the sum to infinity of the geometric series (from C2). How does this relate to your partial fractions? In particular, how might you write the partial fractions in ascending powers of x

Equivalently, if you've done the Binomial theorem, write your partial fractions as and expand them both using the formula for .
4. (Original post by turn and fall)
Express in terms of partial fractions and hence, or otherwise, obtain the first three terms in the expansion of this expression in ascending powers of x. State the values of x for which the expansion is valid.

...

I have no clue what the rest of the question wants. Can somebody put me in the right direction?
As mentioned above you need to write down your

as:

assuming you know the binomial expantion manipulate to get your function in the form

Expand each term....and sum the corresponding terms for

EDit: damit! someone beat me to it...
5. got it - cheers guys

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Updated: December 12, 2010
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