(a)
To find: The first four nonzero terms and general terms of Taylor series for
(a)
Answer to Problem 25E
The first four nonzero terms are
General term of function is
Explanation of Solution
Given:
The given function is
The Taylor series for
The value of function at
Differentiate the function with respect to
Differentiate the equation
The first four non zero terms of function are:
The general term of Taylor series of function
Conclusion:
The first four nonzero terms are
General term of function is
(b)
To find: The first four nonzero terms and general terms of Taylor series for
(b)
Answer to Problem 25E
The first four non zero terms are
General term of function is
Explanation of Solution
Given:
The given function is
The Taylor series for
The Taylor series expansion of
Therefore,
The general term for the function is
Conclusion:
The first four nonzero terms are
General term of function is
(c)
To find: The value of
(c)
Answer to Problem 25E
The value of
It is proved that
Explanation of Solution
Given:
The general term for the function is
On differentiating the function.
The general term of
On differentiating the function
From
Conclusion:
The value of
It is proved that
Chapter 9 Solutions
CALCULUS-W/XL ACCESS
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