For each series below identify which test could be used to determine convergence or divergence. More than one test may apply to a particular series but you must use each of the tests below at least once. a) nt-term test b) p-series test c) Geometric series test 1. 2. 3. M8 M8 n=1 00 n=1 45= 1 5 +1 2n 3n-2 Telescoping series test e) Integral test f) Direct comparison test I g) Limit comparison test h) Alternating series test i) Ratio test Answers: 1. 2. 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 71E
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For each series below identify which test could be used to determine convergence or divergence. More
than one test may apply to a particular series but you must use each of the tests below at least once.
3.
a) nt-term test
b) p-series test
c) Geometric series test
IM8 iM8
n=1
00
n
1
5 +1
2n
n=13n-2
Name
d) Telescoping series test
e) Integral test
f) Direct comparison test
I
g) Limit comparison test
h) Alternating series test
i) Ratio test
Answers:
3.
Transcribed Image Text:For each series below identify which test could be used to determine convergence or divergence. More than one test may apply to a particular series but you must use each of the tests below at least once. 3. a) nt-term test b) p-series test c) Geometric series test IM8 iM8 n=1 00 n 1 5 +1 2n n=13n-2 Name d) Telescoping series test e) Integral test f) Direct comparison test I g) Limit comparison test h) Alternating series test i) Ratio test Answers: 3.
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