AP®︎ Calculus BC: Topic 10.12 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 10.12 of AP Calculus BC – Lagrange Error Bound.
Questions List
Topic 10.12
Question 1 Easy
Let have derivatives of all orders, with for . Let be the second-degree Taylor polynomial for about .
Using the given derivative bound, what is the Lagrange error bound for approximating by ?
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.
Topic 10.12: Lagrange Error Bound
Learning Objective: LIM-8.C
Determine the error bound associated with a Taylor polynomial approximation.
Essential Knowledge: LIM-8.C.1
The Lagrange error bound can be used to determine a maximum interval for the error of a Taylor polynomial approximation to a function.
Essential Knowledge: LIM-8.C.2
In some situations, the alternating series error bound can be used to bound the error of a Taylor polynomial approximation to the value of a function.
