(a) Explanation Consider that the Taylor series for the function I n ( 1 + x ) is x − x 2 2 + x 3 3 − x 4 4 + ⋯ + ( − 1 ) n ⋅ x n + 1 n + 1 + ⋯ . So the Taylor series for the function I n ( 2 x 2 + 1 ) is obtained by replacing x by 2 x 2 . Therefore, the required series is 2 x 2 − ( 2 x 2 ) 2 2 + ( 2 x 2 ) 3 3 − ( 2 x 2 ) 4 < (b) To determine To find: The Taylor series of the given function.

Calculus with Applications (11th Edition)

11th Edition

ISBN: 9780321979421

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 12.5, Problem 2YT

(a)

To determine

To find: The Taylor series for the given function.

(b)

To determine

To find: The Taylor series of the given function.

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Chapter 12.5, Problem 1YT

Chapter 12.5, Problem 3YT

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Chapter 12 Solutions

Calculus with Applications (11th Edition)

Ch. 12.1 - Find the first four terms of the sequence having...Ch. 12.1 - Prob. 2YT Ch. 12.1 - Prob. 3YT Ch. 12.1 - Prob. 4YT Ch. 12.1 - Prob. 5YT Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - List the first n terms of the geometric sequence...Ch. 12.1 - Prob. 5E

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