(a)
The value of S in which t=1.
(a)
Answer to Problem 61E
The value is
Explanation of Solution
Given information:
The given series is,
Formula used:
ratio is
Calculation:
Putting t=1 in the above expression,
The sum of the infinite geometric series whose ratio is
It is a geometric progression with initial term is 1 and common ratio is equal to
Therefore, sum of the series is
Conclusion:
The value is
(b)
The value of t when S converges.
(b)
Answer to Problem 61E
Explanation of Solution
Given information:
The given series is,
Formula used:
The geometric progression is used.
Calculation:
If the sequence of partial sum has a limit as
Conclusion:
(c)
The value of t when S is greater than 10.
(c)
Answer to Problem 61E
The sum of the series is
Explanation of Solution
Given information:
The given series is,
Formula used:
The infinite geometric series is used.
Calculation:
For
Conclusion:
The sum of the series is
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
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Thomas' Calculus: Early Transcendentals (14th Edition)
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