Explanation Given: The sequence, a n = e n + e − n e 2 n − 1 . Concept used: For a given sequence a n if lim n → ∞ a n exists, the sequence is convergent otherwise the sequence diverges. Calculation: lim n → ∞ a n = lim n → ∞ ( e n + e − n e 2 n − 1 ) = lim n → ∞ ( ( e n + e − n e 2 n ) ( e 2 n − 1 e 2 n

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Question

Chapter 2.1, Problem 25E

To determine

To find: Whether the sequence an=en+e−ne2n−1 is convergent or not.

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Chapter 2.1, Problem 24E

Chapter 2.1, Problem 26E

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Chapter 2 Solutions

Biocalculus

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Whether the sequence a n = e n + e − n e 2 n − 1 is convergent or not.

Solution Summary: The author explains that if the sequence a_n=e

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To find: Whether the sequence an=en+e−ne2n−1 is convergent or not.

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Chapter 2 Solutions