a.
To fill: The blank in the statement “The nth Taylor polynomial of f at a is the polynomial
a.
Answer to Problem 1CRQ
The nth Taylor polynomial of f at a is the polynomial
Explanation of Solution
Let f be a function and its first n derivatives are defined at a.
Then the nth Taylor polynomial of f at a is the polynomial,
Therefore, the nth Taylor polynomial of f at a is the polynomial
b.
To fill: The blank in the statement “In terms of f and its derivatives, we have
b.
Answer to Problem 1CRQ
In terms of f and its derivatives, we have
Explanation of Solution
Let f be a function and its first n derivatives are defined at a.
Then the nth Taylor polynomial of f at a is the polynomial,
So it coincides with
Therefore, in terms of f and its derivatives, we have
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Chapter 11 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage