Explanation Given information : a n = cos ( n π / 2 ) . As we have a n = cos ( n π / 2 ) . Can 1 : if n is odd then n π / 2 is odd multiple of π 2 . Thus, a n = cos ( n π / 2 ) is always 0. Case 2 : if n is even then n π / 2 is even multiple of π 2

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

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 19E

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Whether the sequence an=cos(nπ/2) is convergent or divergent, if it convergent, find it limit.

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Chapter 2.1, Problem 18E

Chapter 2.1, Problem 20E

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Determine if the sequence {an} converges or diverges. Find the limit L if the sequence converge. an = cos n O diverges OL= 1 OL= 1/2 OL= 0

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Chapter 2 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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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Prob. 9CS

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Whether the sequence a n = cos ( n π / 2 ) is convergent or divergent, if it convergent, find it limit.

Solution Summary: The author analyzes whether the sequence a_n=mathrmcosleft is convergent or divergent.

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Whether the sequence an=cos(nπ/2) is convergent or divergent, if it convergent, find it limit.

Want to see the full answer?

Chapter 2 Solutions