(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I know the sum of the Laurent series (around x=2) is equal to

[tex]\frac{1}{x+3}[/tex]

But I can't find what the series is from this information alone.

2. Relevant equations

In the textbook, you have (for -1 < x < 1):

[tex]\frac{1}{1-x} = \sum_{n=0}^{\infty}x^n[/tex]

and for |x|>1 I know (but have no idea how to deduce) that

[tex]\frac{1}{1+x} = \sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{x^n}[/tex]

I just don't know how I can use this information to find the sum for 1/(x+3).

3. The attempt at a solution

I am sorry, but I don't want to further destroy my confidence by reliving my pathetic attempts to finding the solution. :D

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# Homework Help: Maclaurin and Laurent series.

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