(a)
To obtain: Maclaurin series for
(a)
Answer to Problem 44E
Maclaurin series for
Explanation of Solution
Given information: Function
Formula used :
The Maclaurin series for the function
Calculation:
Replace
Since
As a result, the Maclaurin series for
: (b).
To differentiate: The series
: (b).
Answer to Problem 44E
Maclaurin series for
Explanation of Solution
Given information: Function
Concept used:
Use the Maclaurin series
Calculation:
Differentiate
Therefore, the required Maclaurin series for
(c)
To verify: The obtained series in part (b) is the series for
(c)
Explanation of Solution
Given information: Function
Concept used :
The Maclaurin series for
Calculation:
Replace
Substitute
The obtained series is same as the one obtained in part (b).
This implies that the series of
Hence, the obtained series in part (b) is the series for
Chapter 9 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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