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Name: Determine whether each sequence converges or diverges. If it converges
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Description: Determine whether each sequence converges or diverges. If it converges, find the limit.a. an=tan-1(1+e-n)b. an= n1/n

Math

Advanced Math

Determine whether each sequence converges or diverges. If it converges, find the limit. a. an=tan-1(1+e-n) b. an= n1/n

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.3: Geometric Sequences

Problem 59SE: Use the explicit formula to write a geometric sequence whose common ratio is a decimal number...

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Concept explainers

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

Determine whether each sequence converges or diverges. If it converges, find the limit.
a. a_n=tan^-1(1+e^-n)

b. a_n= n^1/n

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