Write the taylor expansion of

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- Jul 28th 2009, 12:13 AMZockenTaylor Expansion
Write the taylor expansion of

- Jul 28th 2009, 12:44 AMRandom Variable
I'm assuming you mean the Taylor series about x=0.

We know from the sum of a geometric series that

then

so - Jul 28th 2009, 12:56 AMchisigma
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