To explain: The relationship to Taylor’s theorem.
Answer to Problem 26E
One might think of Taylor's Theorem as a specific case of the Mean Value Theorem.
Explanation of Solution
Given information:
Order
Order
Calculation:
As per Mean Value Theorem, there exists a
From which
According to the Taylor's Theorem, for all
Where,
i.e.
For a
As a result, Taylor's Theorem can be thought of as a special case of the Mean Value Theorem.
Chapter 9 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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