AP®︎ Calculus BC: Topic 10.4 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 10.4 of AP Calculus BC – Integral Test for Convergence.

Questions List

Topic 10.4

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

Question 1 Easy

The series ∑n=1∞an\sum_{n=1}^{\infty} a_n has an=f(n)a_n=f(n). Which set of conditions is sufficient to apply the integral test on [1,∞)[1,\infty)?

Aff is positive, continuous, and increasing on [1,∞)[1,\infty).
Bff is positive and continuous on [1,∞)[1,\infty), and lim⁡x→∞f(x)=0\lim_{x\to\infty}f(x)=0.
Cff is positive, continuous, and decreasing on [1,∞)[1,\infty).
Df(n)>0f(n)>0 for every integer n≥1n\geq1, and lim⁡n→∞f(n)=0\lim_{n\to\infty}f(n)=0.

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 10.4: Integral Test for Convergence

Learning Objective: LIM-7.A

Determine whether a series converges or diverges.

Essential Knowledge: LIM-7.A.6

The integral test is a method to determine whether a series converges or diverges.

Also applying to college?Free college essay reviewGet your college essay graded