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# Find a power series representation for the function and determine the interval of convergence.$f(x) = {x + a}{x^2 + a^2}, a > 0$

## $\left(x^{0}, 1, a\right)$

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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### Video Transcript

so fun houses the reputation for the function FX and determine the in the role of convergence. So if x equals, it's worth us experts eight times expire and Ace is a positive number. So this is our way of power. Siri's. So this is a polynomial, and we fund that it has. So the coefficient of X to the power zero is a square And that sit that of the ex term, this one and that if the Expressionists eh? And so awful Intermix zero zero zero zero zero. So that is our area power Siri's. So this is thie code revisions. That's her so efficient that way yet So it's a royal power. Siri's on determine the winner will pin murders on DSO FX. We'LL always converge to itself. So we're going to see the honorable two murders. Is thie whole real lion. So is out of the room number

University of Illinois at Urbana-Champaign

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Series

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp