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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe55cfba9-7bce-45cb-a868-b9c474dd1b77%2F48a11aa4-0ea9-4f38-91b0-90bcdc978308%2F8mmf8cp_processed.jpeg&w=3840&q=75)
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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