4. Study the convergence of the following series: (a) (b) E n=1 (c) E(-1)n+1n² +2 n² + 1 n=1 nlog n (d) (log n)n n=2 Vn +I- Vn (e) E n=1 1 (f) > (In+1 - In) for any sequence (rn) n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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4. Study the convergence of the following series:
2n
(a)
(b)
2n
n=1
(c) E(-1)*+1n² +2
n² + 1
n=1
nlog n
(d)
(log n)"
n=2
Vn +1- Vn
n=1
1
(f) >(In+1 - In) for any sequence (xn)
n=1
Transcribed Image Text:4. Study the convergence of the following series: 2n (a) (b) 2n n=1 (c) E(-1)*+1n² +2 n² + 1 n=1 nlog n (d) (log n)" n=2 Vn +1- Vn n=1 1 (f) >(In+1 - In) for any sequence (xn) n=1
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