Explanation Given: The sequence is { n 1000 2 n } . Theorem used: Growth Rates of Sequences If the increasing growth rate of the sequence { a n } appears before { b n } as n → ∞ , then lim n → ∞ a n b n = 0 and lim n → ∞ b n a n = ∞ . The increasing growth rate of the sequences are { n p } ≪ { b n } . Calculation: Consider the given sequence { n 1000 2 n }

Single Variable Calculus: Early Transcendentals Plus MyLab Math with Pearson eText -- Access Card Package (2nd Edition) (Briggs/Cochran/Gillett Calculus 2e)

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ISBN: 9780321965172

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 67E

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To find: The limit of the sequence.

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Chapter 8.2, Problem 66E

Chapter 8.2, Problem 68E

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Chapter 8 Solutions

Single Variable Calculus: Early Transcendentals Plus MyLab Math with Pearson eText -- Access Card Package (2nd Edition) (Briggs/Cochran/Gillett Calculus 2e)

Ch. 8.1 - Prob. 1QC Ch. 8.1 - Prob. 2QC Ch. 8.1 - Prob. 3QC Ch. 8.1 - Prob. 4QC Ch. 8.1 - Prob. 5QC 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

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The limit of the sequence.

Solution Summary: Theorem used: Growth Rates of Sequences If the increasing growth rate of the sequence appears before leftb_nright, it is observed that the value of p is 1000

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To find: The limit of the sequence.

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Chapter 8 Solutions