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(a) Use the integral test to study the convergence of the series In(n) n² Edit: It previously said log(x) instead of ln(x). (b) Use the alternating test to study the convergence of the series Σ(-1)"2". n! n=1

(a) Use the integral test to study the convergence of the series In(n) n² Edit: It previously said log(x) instead of ln(x). (b) Use the alternating test to study the convergence of the series Σ(-1)"2". n! n=1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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P1 (a) Use the integral test to study the convergence of the series In(n) n² n=2 Edit: It previously said log(x) instead of ln(x). (b) Use the alternating test to study the convergence of the series 8 2n Σ(-1)^2 1) 201 n! n=1 (c) Study the convergence of the following series n=1 (-1)+1 2n + (−1)n Is it absolutely convergent? Remember to justify all the hypothesis needed to use the test in both parts of this exercise.
Transcribed Image Text:P1 (a) Use the integral test to study the convergence of the series In(n) n² n=2 Edit: It previously said log(x) instead of ln(x). (b) Use the alternating test to study the convergence of the series 8 2n Σ(-1)^2 1) 201 n! n=1 (c) Study the convergence of the following series n=1 (-1)+1 2n + (−1)n Is it absolutely convergent? Remember to justify all the hypothesis needed to use the test in both parts of this exercise.
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