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Determine whether each of the following series is convergent or divergent using the appropriate te for convergence/divergence. cos 3n 1+(1.2)" (a) n3 +1 n=1 (g) n2 +1 (b) n2n (h) (1+ 2n²)" n3 +1 (c) 1.3.5 (2n – 1) ..... (i) 5n n=1 5"n! n=1 (-1)" Vn +1 (-5)2n n29n (d) (i) n=1 n=1 1 (e) T nyInn n=2 (k) E(-1)-1. n+1 n=1 (f) In Vn +I - yn – 1 3n +1 (1) n=1 n=1

Determine whether each of the following series is convergent or divergent using the appropriate te for convergence/divergence. cos 3n 1+(1.2)" (a) n3 +1 n=1 (g) n2 +1 (b) n2n (h) (1+ 2n²)" n3 +1 (c) 1.3.5 (2n – 1) ..... (i) 5n n=1 5"n! n=1 (-1)" Vn +1 (-5)2n n29n (d) (i) n=1 n=1 1 (e) T nyInn n=2 (k) E(-1)-1. n+1 n=1 (f) In Vn +I - yn – 1 3n +1 (1) n=1 n=1

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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e,f,g and h only

topic: Sequence and Series

Determine whether each of the following series is convergent or divergent using the appropriate test for convergence/divergence. cos 3n 1+(1.2)" (a) n3 +1 n=1 (g) 5 n² +1 (b) n2n (h) (1+ 2n²)" n³ +1 (c) 1.3.5. .... (2n – 1) 5n n=1 (i) 5"n! (-1)" Vn +1 (-5)2n n²9n (d) (i) n=1 n=1 1 (e) nyInn n=2 (k) E(-1)--1. n+1 n=1 (f) In (1) Vn +1- Vn – 1 3n +1 n=1 n=1
Transcribed Image Text:Determine whether each of the following series is convergent or divergent using the appropriate test for convergence/divergence. cos 3n 1+(1.2)" (a) n3 +1 n=1 (g) 5 n² +1 (b) n2n (h) (1+ 2n²)" n³ +1 (c) 1.3.5. .... (2n – 1) 5n n=1 (i) 5"n! (-1)" Vn +1 (-5)2n n²9n (d) (i) n=1 n=1 1 (e) nyInn n=2 (k) E(-1)--1. n+1 n=1 (f) In (1) Vn +1- Vn – 1 3n +1 n=1 n=1
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