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AP Calculus BC 1.3: Estimating Limits from Graphs

Practise AP Calculus BC 1.3 by reading one-sided and two-sided limits from graphs, evaluating composite inputs, and deciding when a limit does not exist.

Syllabus
Effective Fall 2020
Course
AP Calculus BC

Exam points

  • Read left- and right-hand values from a graph to decide whether a two-sided limit exists.
  • Track the input of a composite limit to the correct side before reading the graph of f.

LIM-1.C—Estimate limits of functions 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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