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Problem 5 Easy Difficulty

Find a power series representation for the function and determine the interval of convergence.
$ f(x) = \frac {2}{3 - x} $

Answer

$\frac{2}{3} \sum_{n=0}^{\infty} \frac{x^{n}}{3^{n}}$

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Video Transcript

okay. Fun of power. Serious reputation for function and determine the in the role of convergence. So we don't realise this form into one One is that's over three. We just put their out three. So have us. Because this one and because two thirds times one Oh, one hour, actually, three. So this way, seriously, it's gonna be like and in this international number from zero to infinity And the reason Burgess is going to be this and get even Eyes thie. Absolute hell of absences on three. Okay.

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