a.
To find: To find whether the given series converges or diverges.
a.
Answer to Problem 1QQ
The series converges.
Explanation of Solution
Given:
The given series
Formula used:
Then the series
Calculation:
Given series is
Using Limit comparing test,
The integral test applies because
By p-series test,
It is of the form of
This series converges since
The limit is positive,
b.
To find: To find whether the given series converges or diverges.
b.
Answer to Problem 1QQ
The series converges.
Explanation of Solution
Given:
The given series
Formula used:
Then the series
Calculation:
Given series is
Using Limit comparing test,
If the sequence of partial sum has a limit as
This is a geometric series whose initial term is zero and common ratio is
The limit is positive,
c.
To find whether the given series converges or diverges.
c.
Answer to Problem 1QQ
The series converges.
Explanation of Solution
Given:
The given series
Formula used:
Then the series
Calculation:
Given series is
By p-series test,
It is of the form of
This series converges since
The limit is positive,
Chapter 9 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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