Write the taylor expansion of

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- July 27th 2009, 11:13 PMZockenTaylor Expansion
Write the taylor expansion of

- July 27th 2009, 11:44 PMRandom Variable
I'm assuming you mean the Taylor series about x=0.

We know from the sum of a geometric series that

then

so - July 27th 2009, 11:56 PMchisigma
The binomial series...

(1)

... in the case , and changing into becomes...

(2)

If you multiply each term of (2) by you obtain what you have requested. That isn't the only way to arrive to the result...

Kind regards