For each real-valued sequence, explain whether it is convergent, divergent to t∞, or otherwise divergent (not to t∞). If it is convergent, find its limit. If it is divergent, find its lim sup and lim inf. (a) Sn = (b) Sn = n³ - 3n² 2n² + 3 √n +1 √n + 1* (c) Sn = (-2)". - 1 n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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For each real-valued sequence, explain whether
it is convergent, divergent to t∞, or otherwise divergent (not to too). If it is
convergent, find its limit. If it is divergent, find its lim sup and lim inf.
(a) Sn
(b) Sn =
(c) Sn
=
(d) Sn
=
=
n³
2n² +3
-
3n²
n+1
n +
n.
1
(-2)"
n
(-1)^n - 2
•√4n+2
Transcribed Image Text:For each real-valued sequence, explain whether it is convergent, divergent to t∞, or otherwise divergent (not to too). If it is convergent, find its limit. If it is divergent, find its lim sup and lim inf. (a) Sn (b) Sn = (c) Sn = (d) Sn = = n³ 2n² +3 - 3n² n+1 n + n. 1 (-2)" n (-1)^n - 2 •√4n+2
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