a.
To calculate: Whether the given series show the ratio test inconclusive.
a.
Answer to Problem 37E
The given series show the ratio test inconclusive.
Explanation of Solution
Given information:
Concept Used:
Ratio Test:
(i) If
(and therefore convergent)
(ii) If
(iii) If
Calculation:
The series is
Then,
By use of ratio test
Here ,
Conclusion:
The given series shows the ratio test inconclusive.
b.
To calculate:The given series show the ratio test inconclusive.
b.
Answer to Problem 37E
The given series not shows the ratio test inconclusive.
Explanation of Solution
Given information:
Calculation:
The series is
Then,
By use of ratio test
Here,
Conclusion:
The given series not shows the ratio test inconclusive.
c.
To calculate:The given series show the ratio test inconclusive.
c.
Answer to Problem 37E
The given series not shows the ratio test inconclusive.
Explanation of Solution
Given information:
Concept Used:
Ratio Test:
(iv) If
(and therefore convergent)
(v) If
(vi) If
Calculation:
The series is
Then,
By use of ratio test
Here ,
Conclusion:
The given series not shows the ratio test inconclusive.
d.
To calculate:The given series show the ratio test inconclusive.
d.
Answer to Problem 37E
The given series shows the ratio test inconclusive.
Explanation of Solution
Given information:
Concept Used:
Ratio Test:
(vii) If
(and therefore convergent)
(viii) If
(ix) If
Calculation:
The series is
Then,
By use of ratio test
Here ,
Conclusion:
The given series shows the ratio test inconclusive.
Chapter 8 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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