Explanation Given: The sequence, a n = 2 n 2 + n − 1 n 2 . 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 → ∞ 2 n 2 + n − 1 n 2 = lim n → ∞

15th Edition

ISBN: 9781305177291

Author: James Stewart, Troy Day

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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Chapter 2.1, Problem 11E

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To find: Whether the sequence an=2n2+n−1n2 is convergent or not.

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Chapter 2.1, Problem 10E

Chapter 2.1, Problem 12E

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Chapter 2 Solutions

Biocalculus: Calculus For Life Sciences

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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

Solution Summary: The author analyzes whether the sequence a_n=2 converges or not.

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To find: Whether the sequence an=2n2+n−1n2 is convergent or not.

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Chapter 2 Solutions