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# Find a power series representation for the function and determine the interval of convergence.$f(x) = \frac {5}{1 - 4x^2}$

## $5 \sum_{n=1}^{\infty} 4^{n} x^{2n}$

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

Okay, Fund the power serious presentation from function and determined that interval of CA murders. So we're going to transform it into this woman. Tw note t equals for at square, and this is very familiar to us. So this is simply equal to the Siri's. And in this from zero to infinity. So what is planning this registration? And if one dies, it will be. And we know that he is less than one the absolute bellhop. Taste like the one soda, miss for square. This someone the means x is this the one half the actual battle backs is less than what I have. So that is the Inderal of convergence.

University of Illinois at Urbana-Champaign

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp