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AP Calculus BC 1.9 Limit Representations Overview

Connect graphs, tables and algebraic expressions to evaluate limits, compare statements and decide whether a limit exists.

Syllabus
Effective Fall 2025
Course
AP Calculus BC

Exam points

  • connect derivative evidence to function behavior and interpretation
  • justify a calculus conclusion from symbolic, graphical or contextual evidence

Covered syllabus points

1.9—Connecting Multiple Representations of Limits—Topic 1.9

1.9 Connecting Multiple Representations of Limits question 1

[Maximum number: 1]

The graphs of the functions f and g are shown in the figures above. Which of the following statements is false?

A

lim⁡x→1f(x)=0\lim _{x \rightarrow 1} f(x)=0

B

lim⁡x→2g(x)\lim _{x \rightarrow 2} g(x) does not exist.

C

lim⁡x→1(f(x)g(x+1))\lim _{x \rightarrow 1}(f(x) g(x+1)) does not exist.

D

lim⁡x→1(f(x+1)g(x))\lim _{x \rightarrow 1}(f(x+1) g(x)) exists.

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