Determine if the following sequence converges. If it does, find its limit. 8 √2n! \ (2n)! (n=1 2. Determine if the following sequence converges. If it does, find its limit. 210nn! (2n)! n=1 8 3. Let x be a (constant) real number. Determine, with proper justification, if the sequenc- 8 27°⁰ cos(nx) n³ converges. If it does, find the value of the limit. n=1

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 71E
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oblem Set 4
1. Determine if the following sequence converges. If it does, find its limit.
[ 2n!
(2n)! Sn=1
∞
2. Determine if the following sequence converges. If it does, find its limit.
210nn!
{* (2n)!
(2n)! Sn=1
converges. If it does, find the value of the limit.
∞
3. Let x be a (constant) real number. Determine, with proper justification, if the sequence
{ }
cos(nx)
n
8
n=1
Transcribed Image Text:oblem Set 4 1. Determine if the following sequence converges. If it does, find its limit. [ 2n! (2n)! Sn=1 ∞ 2. Determine if the following sequence converges. If it does, find its limit. 210nn! {* (2n)! (2n)! Sn=1 converges. If it does, find the value of the limit. ∞ 3. Let x be a (constant) real number. Determine, with proper justification, if the sequence { } cos(nx) n 8 n=1
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