Explanation Concept Used: If lim n → ∞ a n exists and is finite we say that the sequence is convergent . If lim n → ∞ a n doesn’t exist or is infinite we say the sequence diverges . The given sequence is { a n } = { ( 1 + e n ) 2 n } Observe that: lim n → ∞ a n = lim n → ∞ ( 1 + e n ) 2 n using the exponent rule: a x = e ln (

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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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 8, Problem 8SP

To determine

To find: if the given sequence diverges or converges, and if it converges then find it’s limit. {(1+ e n)2n} .

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Chapter 8, Problem 7SP

Chapter 8, Problem 9SP

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Chapter 8 Solutions

Calculus

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if the given sequence diverges or converges, and if it converges then find it’s limit. { ( 1 + e n ) 2 n } .

Solution Summary: The author explains that if the given sequence diverges or converges then find it's limit.

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To find: if the given sequence diverges or converges, and if it converges then find it’s limit. {(1+ e n)2n} .

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Chapter 8 Solutions