AP Calculus AB 1.11 Defining Continuity at a Point Question Bank
Practise AP Calculus AB 1.11 continuity questions by checking the limit, function value and equality required at a point.
- Syllabus
- Effective Fall 2025
- Course
- AP Calculus AB
Exam points
- use the three-part continuity definition to compare one-sided limits and the function value
- infer continuity from limit equality and evaluate compositions of continuous functions
LIM-2.A—Justify conclusions about continuity at a point using the definition—Topic 1.11 question 1
[Maximum number: 1]
If limx→af(x)=f(a), then which of the following statements about f must be true?
A
f is continuous at x=a.
B
f is differentiable at x=a.
C
For all values of x, f(x)=f(a).
D
The line y=f(a) is tangent to the graph of f at x=a.
E
The line x=a is a vertical asymptote of the graph of f.
A
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