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6) If an converges, then n=1 a) E converges. n=1 b) lim an = 0. n00 00 c) E(an)² converges. n=1 d) E cos(an) converges.

6) If an converges, then n=1 a) E converges. n=1 b) lim an = 0. n00 00 c) E(an)² converges. n=1 d) E cos(an) converges.

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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Solve both 46 and 47 please

46) If E an converges, then n=1 00 a) E converges. n=1 b) lim an = 0. n00 c) E(an)? converges. n=1 d) E cos(an) converges. n=1 e) E cos(am) dinverges. n=1 47) If E an converges and an > 0 for all n E N. Which of the following are true? n=1 a) E(an)? converges. n=1 b) E sin(an) converges. n=1 c) If {bn} is bounded, bnan converges. n=1 d) 2 ap(n) converges for any 1-1 and onto function y : N → N and a,oln) n=1 E am. n=1 e) E ap(n) converges for any 1-1 and onto function y : N → N but E ap(n) can be n=1 n=1 different from ) an:
Transcribed Image Text:46) If E an converges, then n=1 00 a) E converges. n=1 b) lim an = 0. n00 c) E(an)? converges. n=1 d) E cos(an) converges. n=1 e) E cos(am) dinverges. n=1 47) If E an converges and an > 0 for all n E N. Which of the following are true? n=1 a) E(an)? converges. n=1 b) E sin(an) converges. n=1 c) If {bn} is bounded, bnan converges. n=1 d) 2 ap(n) converges for any 1-1 and onto function y : N → N and a,oln) n=1 E am. n=1 e) E ap(n) converges for any 1-1 and onto function y : N → N but E ap(n) can be n=1 n=1 different from ) an:
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