Intervals of ConvergenceIn Exercise , (a)
Chapter 10, Problem 29E(choose chapter or problem)
Problem 29E
Intervals of Convergence
In Exercise , (a) find the series’ radius and interval of convergence. For what values of x does the series converge (b) absolutely, (c) conditionally?
Reference:
Theory and Examples
Logarithmic p -series
a. Show that the improper integral
converges if and only if p > 1.
b. What implications does the fact in part (a) have for the convergence of the series
Give reasons for your answer.
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