a.
To state: If the series obtained by integrating the series for
The power series
a.
Answer to Problem 65E
No function can be obtained by integrating
Explanation of Solution
Given information:
The given power series is
Let’s assume that there is a series
On differentiating
By theorem 1,
But it is given that
Therefore, the assumption is wrong. Thus, no function can be obtained by integrating
b.
To state: If the series obtained by differentiating the series for
The power series
b.
Answer to Problem 65E
No function can be obtained by integrating
Explanation of Solution
Given information:
The given power series is
Let’s assume that there is a series
On differentiating
By theorem 2,
But it is given that
Therefore, the assumption is wrong. Thus, no function can be obtained by integrating
Chapter 9 Solutions
CALCULUS-W/XL ACCESS
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