To find: The first four terms and the general term of the Taylor series.
Answer to Problem 60RE
The answer:
Explanation of Solution
Given information:
The equation is
The Taylor series generated by
Calculation:
To use the general power rule,
Evaluate the function and the derivatives at
To use the results of the previous step and the definition of Taylor series, obtain
Therefore, the required first four terms and the general term of the Taylor series is
To find: The first four terms and the general term of the series generated by
Answer to Problem 60RE
The answer:
Explanation of Solution
Given information:
The equation is
Calculation:
By use
Theorem2, i.e. the Term-by-Term Integration from Section 10.1, obtain at
So,
Therefore, the required first four terms and the general term of the series generated by
To find: The number differs from
Answer to Problem 60RE
The answer: An appropriate value can be
Explanation of Solution
Given information:
The equation is
Calculation:
First evaluate the value of
Evaluate
Thus,
And,
Therefore, the required appropriate value can be
Chapter 9 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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