1 np ln n (a) Show that the series if p = 1. (b) Find the interval of convergence of the following series diverges for arbitrary q, if p < 1, and for q ≤ 1, n² Σ (1 4) 1 + ² ) " " (x - 1)" n=1

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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1
(a) Show that the series
n² lng n
n=2
if p = 1.
(b) Find the interval of convergence of the following series
∞
1
Σ (¹ + 9) "²6
(x - 1)"
n=1
diverges for arbitrary q, if p < 1, and for q ≤ 1,
Transcribed Image Text:1 (a) Show that the series n² lng n n=2 if p = 1. (b) Find the interval of convergence of the following series ∞ 1 Σ (¹ + 9) "²6 (x - 1)" n=1 diverges for arbitrary q, if p < 1, and for q ≤ 1,
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