AP®︎ Calculus BC: Topic 10.15 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 10.15 of AP Calculus BC – Representing Functions as Power Series.


Questions List

Topic 10.15

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15

Question 1 Easy

Which of the following gives the first four terms of the Maclaurin series for e3xe^{3x}?

A1+3x+32x2+12x3+⋯1+3x+\frac{3}{2}x^2+\frac{1}{2}x^3+\cdots
B1+3x+3x2+3x3+⋯1+3x+3x^2+3x^3+\cdots
C1+3x+92x2+92x3+⋯1+3x+\frac{9}{2}x^2+\frac{9}{2}x^3+\cdots
D1+3x+9x2+27x3+⋯1+3x+9x^2+27x^3+\cdots

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 10.15: Representing Functions as Power Series

Learning Objective: LIM-8.G

Represent a given function as a power series.

Essential Knowledge: LIM-8.G.1

Using a known series, a power series for a given function can be derived using operations such as term-by-term differentiation or term-by-term integration, and by various methods (e.g., algebraic processes, substitutions, or using properties of geometric series).