Determine whether if the following series are convergent, divergent, conditionally convergent or absolutely convergent. n²+1 (a) Σ(-1)"; 2n³+n+1 n=1 (b) 2n en+1 n=0 (-1)" (c) Σ: n+ nln²n 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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divergent, conditionally convergent or absolutely convergent.
n²+1
(1) Σ(-1)". 2n³+n+1
n=1
(b)
n=0
(d)
Determine whether if the following series are convergent,
(c) Σ;
n=1
n=1
2n
en+1
n=1
(-1)"
n+ nln²n
n
3n + 1
(e) (tan(-)-tan(; 7))
n+
Transcribed Image Text:divergent, conditionally convergent or absolutely convergent. n²+1 (1) Σ(-1)". 2n³+n+1 n=1 (b) n=0 (d) Determine whether if the following series are convergent, (c) Σ; n=1 n=1 2n en+1 n=1 (-1)" n+ nln²n n 3n + 1 (e) (tan(-)-tan(; 7)) n+
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