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Let {a,} be a decreasing sequence with a, O such that lim a, = 0. Choose all the correct statements: Σ The series Ar converges. r=1 r+1 The series >(-1)**'a, converges. r=1 The series > a, diverges. r=1 The series > (-1)**'a, diverges. r+1 ア=1 We can't say if >, ar converges. r=1 r+1 We can't say if) (-1)"†'a, converges. r=1 IM: IM: IM8 IM:

Let {a,} be a decreasing sequence with a, O such that lim a, = 0. Choose all the correct statements: Σ The series Ar converges. r=1 r+1 The series >(-1)**'a, converges. r=1 The series > a, diverges. r=1 The series > (-1)**'a, diverges. r+1 ア=1 We can't say if >, ar converges. r=1 r+1 We can't say if) (-1)"†'a, converges. r=1 IM: IM: IM8 IM:

Advanced Engineering Mathematics
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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Let {a,} be a decreasing sequence with a, O such that lim a, = 0. Choose all the correct statements: r00 Σ The series Ar converges. r=1 The series > (-1)"*'a, converges. r+1 r=1 The series > a, diverges. r=1 The series > (-1)**'a, diverges. r+1 r=1 We can't say if >, ar converges. r=1 r+1 We can't say if) (-1)"†'ar converges. r=1
Transcribed Image Text:Let {a,} be a decreasing sequence with a, O such that lim a, = 0. Choose all the correct statements: r00 Σ The series Ar converges. r=1 The series > (-1)"*'a, converges. r+1 r=1 The series > a, diverges. r=1 The series > (-1)**'a, diverges. r+1 r=1 We can't say if >, ar converges. r=1 r+1 We can't say if) (-1)"†'ar converges. r=1
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