Explanation Given: The sequence, a n = n 3 n + n 4 . 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 → ∞ ( n 3 n + n 4 ) = lim n → ∞ ( n 3 n 1 + n 4 n ) ( Divide numerator and denominator by n ) = lim n → ∞ ( n 3

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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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 22E

To determine

To find: Whether the sequence an=n3n+n4 is convergent or not.

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Chapter 2.1, Problem 21E

Chapter 2.1, Problem 23E

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the answer is Dcould you explain how using the curland also please disprove each option that is wrong

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Chapter 2 Solutions

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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 = n 3 n + n 4 is convergent or not.

Solution Summary: The author calculates whether the sequence a_n=sqrt[3] if it is convergent, otherwise it diverges.

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To find: Whether the sequence an=n3n+n4 is convergent or not.

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Chapter 2 Solutions