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AP Calculus BC 1.3 Limits and End Behavior Question Bank

Practise AP Calculus BC questions using limit laws, end behavior and continuity conditions to justify function behavior.

Syllabus
Effective Fall 2025
Course
AP Calculus BC

Exam points

  • interpret limits and end behavior from algebraic or graphical evidence
  • use one-sided limits and continuity conditions to justify conclusions

Covered syllabus points

LIM-1.C—Estimate limits of functions

1.3 Estimating Limit Values from Graphs question 1

[Maximum number: 1]
Graph of \(f\)

Graph of \(f\)

76．The graph of the function f is shown in the figure above．Which of the following statements must be false？

A

（A） lim⁡x→2−f(x)=3\lim _{x \rightarrow 2^{-}} f(x)=3

B

（B） lim⁡x→2+f(x)=∞\lim _{x \rightarrow 2^{+}} f(x)=\infty

C

（C） lim⁡x→2f(x)=f(2)\lim _{x \rightarrow 2} f(x)=f(2)

D

（D） lim⁡x→∞f(x)=0\lim _{x \rightarrow \infty} f(x)=0

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