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# Find the Taylor series for $f(x)$ centered at the given value of $a.$ [Assume that $f$ has a power series expansion. Do not show that $R_n (x) \to 0.$] Also find the associated radius of convergence.$f(x) = e^{2x},$ $a = 3$

## $=\sum_{0}^{\infty} \frac{(x-3)^{n} \cdot e^{6}}{n !} \cdot 2^{n}$Radius$=\infty$

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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the problem is finding the tiller Siri's for after black centers. That is keeping one off, eh? And find it as social change. Raiders of Emergence Relax is they got to eat too? The part ofthe two acts a single toe three So first that we can find and derivative axe selects is equal to true. It is a part ofthe end hams Two, two packs. So derivative three If they caught you, You two end hams each of the power of six. Then we have the teller Siri's for after Max is from zero to infinity, uh, and derivative three over and factorial hams X minus three. It was the power off and which is he could chew some from. Zero to infinity Years is a church and damn silly. Two six over and factorial ham's X minus three. It's a part off on my computer. The limit on cost to serenity have swallow off two plus Juan Thompson to six. Over the past one editorial comes a factorial over to end into six. This is equal to limit on cost vanity two over, and one when she is equal to zero Then but the ritual ties to behalf radius ca merchants are This is equal to your vanity. So it converted is how we wire

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp