1. Consider the sequence a₁ = cos² a. Does the sequence converge, or not? If it is convergent, find out the limit the sequence. 3πn² b. Determine whether the following series converges, or not. Explain. 3™n² n²-5 n=1 COS

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...
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1. Consider the sequence an = cos²
a. Does the sequence converge, or not? If it is convergent, find out the limit of
the sequence.
3πn²
n² - 5
b. Determine whether the following series converges, or not. Explain.
3πn²
n² - 5
n=1
cos²
COS
Transcribed Image Text:1. Consider the sequence an = cos² a. Does the sequence converge, or not? If it is convergent, find out the limit of the sequence. 3πn² n² - 5 b. Determine whether the following series converges, or not. Explain. 3πn² n² - 5 n=1 cos² COS
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