9. Which of the following infinite sequences are convergent as n → ∞o? 10n n! (iii) √n+2-√n, (iv) (1) (-)" 2 (a) (i) and (ii) (ii) (b) (ii) and (iii) (d) (iv) and (v) (-1)" In n (e) (i), (ii) and (v) n (c) (ii), (iii) and (iv) (v) (2n)! (n!)²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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9. Which of the following infinite sequences are convergent as n → ∞?
10"
(iii) √n+2√n,
(iv)
n!
(1) (-)"
2
(a) (i) and (ii)
2
(b) (ii) and (iii)
(d) (iv) and (v)
(-1)" Inn
(e) (i), (ii) and (v)
n
(c) (ii), (iii) and (iv)
(v)
(2n)!
(n!)²
Transcribed Image Text:9. Which of the following infinite sequences are convergent as n → ∞? 10" (iii) √n+2√n, (iv) n! (1) (-)" 2 (a) (i) and (ii) 2 (b) (ii) and (iii) (d) (iv) and (v) (-1)" Inn (e) (i), (ii) and (v) n (c) (ii), (iii) and (iv) (v) (2n)! (n!)²
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