a.
To find: To find the interval of convergence
a.
Answer to Problem 36E
The interval of convergence is
Explanation of Solution
Given:
The given series
Formula used:
Sum is given for an infinite geometric progression is given by
Calculation:
Given series is
Summarization is expressed as
This is an infinite geometric progression.
Here
The interval of convergence is
b.
To find: To find the interval of convergence
b.
Answer to Problem 36E
The interval of convergence is
Explanation of Solution
Given:
The given series
Formula used:
Sum is given for an infinite geometric progression is given by
Calculation:
Given series is
Summarization is expressed as
This is an infinite geometric progression.
Here,
The interval of convergence is
c.
To find whether the given series converges or diverges.
The series converges.
c.
Answer to Problem 36E
The series converges.
Explanation of Solution
Given:
The given series
Formula used:
Then the series
Calculation:
Given series is
From above two part, we can observe that the at all points of interval of convergence, series converges absolutely.
Chapter 9 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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