+o0 Consider the power series (* – 1)" log n n=2 (a) Show that the resulting series when x = 0 is conditionally convergent. (Hint: Note that 0 < log n < Inn < n for any natural number n > 2.) (b) Find the interval of convergence of the power series.
+o0 Consider the power series (* – 1)" log n n=2 (a) Show that the resulting series when x = 0 is conditionally convergent. (Hint: Note that 0 < log n < Inn < n for any natural number n > 2.) (b) Find the interval of convergence of the power series.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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