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Problem 9 Easy Difficulty

Find a power series representation for the function and determine the interval of convergence.
$ f(x) = \frac {x - 1}{x + 2} $

Answer

$1-3 \cdot \sum_{n \geq 0} \frac{(-1)^{n} x^{n}}{2^{n+1}}$

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Video Transcript

so, firstly, the robot is formed as X plus two minus three over and two and in turn, sell to be one minus three over two plus X and this is just one O R. One minus three over two tons. Want us help Max and we continue doing this silly Spend this part becomes infront zero's true friend, eh? Minus one to power and extra health And two, two cars in so we can revive his foreignness three times Stu's Heroes Square zero zero I want this one to help extra power for an end to the power of a plastic one. Finally, the interval of convergence is gonna be so not you have bats is less than one implies the absolute of axis less than two yet

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