(a)
The series obtained by integrating the series for f term.
(a)
Answer to Problem 65E
The no function can be obtained by integrating
Explanation of Solution
Given information:
Group Activity Intervals of convergence how much can the interval or convergence of a power series be changed by
Formula used:
Calculation:
Let’s assume there can be some g(x) that obtained by integrating the series of
Conclusion:
Hence, no function can be obtained by integrating
(b)
The series obtained by differentiating the series for f term.
(b)
Answer to Problem 65E
The no function can be obtained by differentiating
Explanation of Solution
Given information:
Group Activity Intervals of convergence how much can the interval or convergence of a power series be changed by integration or differentiation? To be specific, suppose that the power series
Formula used:
Calculation:
Let’s assume there can be some series
Conclusion:
Hence, no function can be obtained by differentiating
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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