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21 Nov 2021
Problem 51
Page 563
Section 8.1: Sequences
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
21 Nov 2021
Given information
Consider the sequence 
.
Step-by-step explanation
Step 1.
For 
, 
.
For 
, 
For 
, 
Similarly now
For 
For 
For 
Thus from the above variations, the sequence is monotonically decreasing for odd values and it is monotonically increasing for even values.
But for all values of 
, the sequence is not monotonic.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 2a
- Problem 2b
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41a
- Problem 41b
- Problem 42a
- Problem 42b
- Problem 43a
- Problem 43b
- Problem 44
- Problem 45a
- Problem 45b
- Problem 46a
- Problem 46b
- Problem 46c
- Problem 47a
- Problem 47b
- Problem 48
- Problem 49
- Problem 49a
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 54
- Problem 54a
- Problem 54b
- Problem 55
- Problem 56
- Problem 57
- Problem 58a
- Problem 58b
- Problem 59a
- Problem 59b
- Problem 59c
- Problem 59d
- Problem 60