a.
To calculate:Whether the given series converges for all
a.
Answer to Problem 41E
The given series converges for all
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
Now,
If
Therefore, for
If
Therefore, for
For
The
And for
Therefore, the series converges for all value of
Conclusion:
The given series converges for all
b.
To calculate:The value of the given limit.
b.
Answer to Problem 41E
The value of
Explanation of Solution
Given information:
Calculation:
The series is
If
If
For
Therefore the
Conclusion:
The vaue of
Chapter 8 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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