2414 HW 20 Taylor Series1

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Apr 3, 2024

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Calculus 2 (2414) Name: Unit 4: Taylor Series and Polar Coordinates Homework 20: Taylor Series Please make sure your solutions are easily legible and that they clearly communicate the methods you used to arrive at your final answer. You are welcome to use a calculator or online calculation engine on your homework, but be prepared to make basic calculations by hand on exams. 1. For f ( x ) = e x , determine its Taylor series centered at 0 (also called its Maclaurin series) and the corresponding interval of convergence.

Calculus 2 Homework 20 Page 2 of ?? 2. For f ( x ) = cos x , determine its Taylor series centered at 0 (also called its Maclaurin series) and the corresponding interval of convergence.

Calculus 2 Homework 20 Page 3 of ?? 3. For f ( x ) = 1 1 − x , determine its Taylor series centered at 0 (also called its Maclaurin series) and the corresponding interval of convergence.

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