Q3. n=1 Determine whether the following series converges absolutely, converges condi- tionally, or diverges. (2) Σ (-1)" n=1 2+3 3n+2'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q3.
tionally, or diverges.
8
(2) Σ (-1)"
n=1
(b)
Determine whether the following series converges absolutely, converges condi-
n=1
2n + 3
3n+2'
(-1)" (√√n+1 − √√n);
el
(c) (-1)n e¹/n
;
n=1
n
In sin² n
(d) Σ 1+n³
n=1
∞
(e) Σ (-1)*
n=1
n
n=1
√n³ +2
Transcribed Image Text:Q3. tionally, or diverges. 8 (2) Σ (-1)" n=1 (b) Determine whether the following series converges absolutely, converges condi- n=1 2n + 3 3n+2' (-1)" (√√n+1 − √√n); el (c) (-1)n e¹/n ; n=1 n In sin² n (d) Σ 1+n³ n=1 ∞ (e) Σ (-1)* n=1 n n=1 √n³ +2
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