(a)
The series
(a)
Answer to Problem 73E
The series
Explanation of Solution
Given information:
To test the convergence of a series we have the nth root Test as stated below:
Let
The series converges if
The series diverges if
And the test is inconclusive if L=1
Formula used:
Ratio test is used.
Calculation:
The given series is
Then,
The series converges
Conclusion:
The series
(b)
The series
(b)
Answer to Problem 73E
The series
Explanation of Solution
Given information:
To test the convergence of a series we have the nth root Test as stated below:
Let
The series converges if
The series diverges if
And the test is inconclusive if L=1
Formula used:
Ratio test is used.
Calculation:
The given series is
Then,
The series converges.
Conclusion:
The series
(c)
The series
(c)
Answer to Problem 73E
The series
Explanation of Solution
Given information:
To test the convergence of a series we have the nth root Test as stated below:
Let
The series converges if
The series diverges if
And the test is inconclusive if L=1
Formula used:
Ratio test is used.
Calculation:
The given series is
Then,
And
So the series converges.
Conclusion:
The series
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
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