Textbook ExpertVerified Tutor
9 Nov 2021
Given information
The sequence 
is a decreasing sequence and all its terms lie between the numbers 5 and 8.
Step-by-step explanation
Step 1.
Monotonic Sequence theorem states that every bounded, monotonic sequence is convergent.
Now, all the terms of the sequence lie between the numbers 5 and 8 it implies that is bounded.
lie between the numbers 5 and 8 it implies that is bounded.Also, is a decreasing sequence implies is monotonic sequence.
is a decreasing sequence implies is monotonic sequence.Since is bounded and monotonic sequence it implies that is convergent.
is bounded and monotonic sequence it implies that is convergent.Thus, the sequence has a limit.
has a limit.
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