1. Determine if the sequences converge or diverge, and justify your determinations precisely. Il sequence converges, find the limit. an= 3n+2 5n (b) an=2" cos NT, neZ+ (e) an (-3)" n! (f) {an} = {0, 1, 0, 0, 1, 0, 0, 0, 1, ...}

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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1. Determine if the sequences converge or diverge, and justify your determinations precisely. If a
sequence converges, find the limit.
(a) an =
3n+2
5n
(b) an=2" cos NT,
(c) an = n sin
n
(d) an e2n/(n+2)
ne Z+
(e) an
(-3)
n!
(f) {an} = {0, 1, 0, 0, 1, 0, 0, 0, 1, ...}
(g) an = ln(n+1) - ln n
(h) an = √
Transcribed Image Text:1. Determine if the sequences converge or diverge, and justify your determinations precisely. If a sequence converges, find the limit. (a) an = 3n+2 5n (b) an=2" cos NT, (c) an = n sin n (d) an e2n/(n+2) ne Z+ (e) an (-3) n! (f) {an} = {0, 1, 0, 0, 1, 0, 0, 0, 1, ...} (g) an = ln(n+1) - ln n (h) an = √
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