(i) n=1 (-1)2-1 би
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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Question
Transcribed Image Text:Consider the three infinite series below.
(i)
8
(−1)n-1
6n
n=1
(n + 1)(n? − 1)
3n³ - 2n + 1
5(-4)²+2
(3)2n+1
n=1
(a) Which of these series is (are)
alternating? For the alternating series,
expand the series to show the first four
nonzero terms.
(b) Which one of these series diverges,
and why? Explain your reasons clearly.
(c) One of these series converges
absolutely. Which one converges
absolutely? Compute its sum.
(ii)
8
n=1
(iii)
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