(c) Determine whether the following series converge. Briefly explain your answers. 2 + sin n (i) Σ n=1 8 (ii) n=1 n n=1 3n 2(n²)* (iii) Σ(−1)n+1N+1 n+2

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(c) Determine whether the following series converge. Briefly explain your answers.
0
2 + sin n
(Σ
n=1
∞
(iⅲⅲ)
(iv)
TWIT
n=1
n=1
n=1
n
3m
2(n²).
n+in+1
n+2
(-1)+1
−1)n
n!
Transcribed Image Text:(c) Determine whether the following series converge. Briefly explain your answers. 0 2 + sin n (Σ n=1 ∞ (iⅲⅲ) (iv) TWIT n=1 n=1 n=1 n 3m 2(n²). n+in+1 n+2 (-1)+1 −1)n n!
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