a.
To find: To find the convergence of the infinite series.
a.
Answer to Problem 54E
The series diverges and converges.
Explanation of Solution
Given:
The given series
Formula used:
Sum is given for an infinite geometric progression is given by
Calculation:
Given series is
Diverges by the limit comparison test.
Let
Then
Since
b.
To find: To find whether the given series converges or diverges.
b.
Answer to Problem 54E
The series diverges.
Explanation of Solution
Given:
The given series
Formula used:
Then the series
Calculation:
Given series is
Since
c.
To find: To find the convergence of the infinite series.
c.
Answer to Problem 54E
The series converges.
Explanation of Solution
Given:
The given series
Formula used:
Sum is given for an infinite geometric progression is given by
Calculation:
Given series is
d.
To find: To find the convergence of the infinite series.
d.
Answer to Problem 54E
The series diverges.
Explanation of Solution
Given:
The given series
Formula used:
Sum is given for an infinite geometric progression is given by
Calculation:
Given series is
Since
Chapter 9 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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