(a)
To find: the interval of convergence.
(a)
Answer to Problem 74E
The interval of convergence is (-3, 5)
Explanation of Solution
Given information:
The given series is
Formula used:
Ratio test is used.
Calculation:
The series of absolute values is
The series converges absolutely if
Check at
Check at
The interval of convergence is (-3, 5)
Conclusion:
The interval of convergence is (-3, 5)
(b)
To find: the interval of convergence.
(b)
Answer to Problem 74E
The interval of convergence is [-1, 5)
Explanation of Solution
Given information:
The given series is
Formula used:
Ratio test is used.
Calculation:
The series of absolute values is
Then, we have
The series converges absolutely if
Check at
Check at
The interval of convergence is [-1, 5)
Conclusion:
The interval of convergence is [-1, 5)
(c)
To find: the interval of convergence.
(c)
Answer to Problem 74E
The interval of convergence is
Explanation of Solution
Given information:
The given series is
Formula used:
Ratio test is used.
Calculation:
The series of absolute values is
Then, we have
The series converges absolutely if
Check at
Check at
The interval of convergence is
Conclusion:
The interval of convergence is
(d)
To find: the interval of convergence.
(d)
Answer to Problem 74E
The interval of convergence is
Explanation of Solution
Given information:
The given series is
Formula used:
Ratio test is used.
Calculation:
The series of absolute values is
Then, we have
The series converges absolutely if
Check at
Check at
The interval of convergence is
Conclusion:
The interval of convergence is
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
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