Logarithmic p-series a. Show that the improper integral dx (p a positive constant) x (In x)" converges if and only if p > 1. b. What implications does the fact in part (a) have for the con- vergence of the series n (In n)P n= Give reasons for your answer.
Logarithmic p-series a. Show that the improper integral dx (p a positive constant) x (In x)" converges if and only if p > 1. b. What implications does the fact in part (a) have for the con- vergence of the series n (In n)P n= Give reasons for your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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