Limit calculations. For each real-valued sequence, explain whether it is convergent, divergent to to, or otherwise divergent (not to too). If it is convergent, find its limit. If it is divergent, find its lim sup and lim inf. (c) Sn = (d) Sn = (-2)".n-1 2nn²2n +1 2 sin n n² + 2

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 55E
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Limit calculations. For each real-valued sequence, explain
whether it is convergent, divergent to to, or otherwise divergent (not to
too). If it is convergent, find its limit. If it is divergent, find its lim sup and
lim inf.
(c) Sn =
(d) Sn
-
(-2)".n-1
2nn²2n +1
2 sin n
n² +2
Transcribed Image Text:Limit calculations. For each real-valued sequence, explain whether it is convergent, divergent to to, or otherwise divergent (not to too). If it is convergent, find its limit. If it is divergent, find its lim sup and lim inf. (c) Sn = (d) Sn - (-2)".n-1 2nn²2n +1 2 sin n n² +2
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