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30 Dec 2021
Problem 66b
Page 575
Section 8.2: Series
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
30 Dec 2021
Given information
According to question a sequence 
is represented by the equation 
for 
, where 
and
can be any real numbers
Step-by-step explanation
Step 1.
We have the sequence
following the instructions we get:
Similarly the value of 
will be
will be
The above can be applied to 
so
so
Above equation can be expressed as:
This is a geometric sum with 
and 
:
and :
Going back to the equation
we found that above holds true for all so:
so:
if we take the limit of both sides we get:
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9a
- Problem 9b
- Problem 10a
- Problem 10b
- 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 30
- Problem 32
- Problem 32
- Problem 33
- Problem 34
- Problem 35a
- Problem 35b
- Problem 35c
- Problem 35d
- Problem 36
- Problem 37
- Problem 39
- Problem 40
- Problem 41
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49a
- Problem 49b
- Problem 49c
- Problem 50a
- Problem 50b
- Problem 51a
- Problem 51b
- Problem 52a
- Problem 52b
- Problem 52c
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57
- Problem 59
- Problem 60
- Problem 61
- Problem 62
- Problem 63
- Problem 64a
- Problem 64b
- Problem 64c
- Problem 65a
- Problem 65b
- Problem 66a
- Problem 66b
- Problem 67a
- Problem 67b
- Problem 67c
- Problem 68