Explanation Given: The sequence is { a n } = { ( − 1 ) n n } . Theorem used: If lim n → ∞ | a n | = 0 , then lim n → ∞ a n = 0 . Calculation: Compute the value of ( − 1 ) n n . | ( − 1 ) n n | = | ( − 1 ) n | | n | = { | 1 | | n | if n is even | − 1 | | n | if n is odd

Calculus: Early Transcendentals (2nd Edition)

2nd Edition

ISBN: 9780321947345

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

Publisher: PEARSON

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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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Chapter 8.2, Problem 32E

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To find: The limit of the sequence or determine the limit of the sequence does not exist.

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Chapter 8.2, Problem 31E

Chapter 8.2, Problem 33E

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Chapter 8 Solutions

Calculus: Early Transcendentals (2nd Edition)

Ch. 8.1 - Define sequence and give an example.Ch. 8.1 - Suppose the sequence {an} is defined by the...Ch. 8.1 - Suppose the sequence {an} is defined by the...Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Given the series k=1k, evaluate the first four...Ch. 8.1 - The terms of a sequence of partial sums are...Ch. 8.1 - Consider the infinite series k=11k. Evaluate the...Ch. 8.1 - Explicit formulas Write the first four terms of...Ch. 8.1 - Explicit formulas Write the first four terms of...

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The limit of the sequence or determine the limit of the sequence does not exist.

Solution Summary: The author explains that the limit of the sequence is 0. The absolute value of (-1) is obtained by calculating the value.

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To find: The limit of the sequence or determine the limit of the sequence does not exist.

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Chapter 8 Solutions