Intervals of ConvergenceIn Exercise , (a)

Chapter 10, Problem 30E

(choose chapter or problem)

Problem 30E

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

Use the Cauchy condensation test from Exercise 53 to show that

Reference: Exercise 53

Theory and Examples

The Cauchy condensation test The Cauchy condensation test says: Let {an} be a non-increasing sequence (for all n) of positive terms that converges to 0. Then converges if and only if converges. For example, diverges because diverges. Show why the test works.