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Consider two series E-1 an and E bn. Suppose 0< an, 0< bn, and a, = b, for all n> 4. Which of the following statements are correct? I. If E an diverges then E bn diverges. II. If E1 an converges then E bn converges. III. If E1 an diverges then E=1(an + bn) diverges IV. If Ean diverges then E,(an-bn) diverges. (A)I only (B) I & II only (C)I, II, & III only (D) I, II & IV only (E) All are true

Consider two series E-1 an and E bn. Suppose 0< an, 0< bn, and a, = b, for all n> 4. Which of the following statements are correct? I. If E an diverges then E bn diverges. II. If E1 an converges then E bn converges. III. If E1 an diverges then E=1(an + bn) diverges IV. If Ean diverges then E,(an-bn) diverges. (A)I only (B) I & II only (C)I, II, & III only (D) I, II & IV only (E) All are true

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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Consider two series E-1 an and E=1 bn. Suppose 0 < an, 0< bn, and a, = b, for all n > 4. Which of the following statements are correct? 1. If E1 an diverges then E bn diverges. II. If E1 an converges then E bn converges. II. If E1 an diverges then E-(an + bn) diverges IV. If E an diverges then E(an- bn) diverges. (A)I only (B) I & II only (C)I, II, & II only (D) I, II & IV only (E) All are true
Transcribed Image Text:Consider two series E-1 an and E=1 bn. Suppose 0 < an, 0< bn, and a, = b, for all n > 4. Which of the following statements are correct? 1. If E1 an diverges then E bn diverges. II. If E1 an converges then E bn converges. II. If E1 an diverges then E-(an + bn) diverges IV. If E an diverges then E(an- bn) diverges. (A)I only (B) I & II only (C)I, II, & II only (D) I, II & IV only (E) All are true
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