AP®︎ Calculus BC: Topic 10.14 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 10.14 of AP Calculus BC – Finding Taylor or Maclaurin Series for a Function.
Questions List
Topic 10.14
Question 1 Easy
A function has derivatives of all orders at , and . What is the coefficient of in the Taylor series for about ?
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 10.14: Finding Taylor or Maclaurin Series for a Function
Learning Objective: LIM-8.E
Represent a function as a Taylor series or a Maclaurin series.
Essential Knowledge: LIM-8.E.1
A Taylor polynomial for f(x) is a partial sum of the Taylor series for f(x).
Learning Objective: LIM-8.F
Interpret Taylor series and Maclaurin series.
Essential Knowledge: LIM-8.F.1
The Maclaurin series for 1/(1 - x) is a geometric series.
Essential Knowledge: LIM-8.F.2
The Maclaurin series for sin x, cos x, and e^x provides the foundation for constructing the Maclaurin series for other functions.
