CourseCourseConceptConceptDocsDocuments

AP Calculus AB Lim 2 A Justify Conclusions About Continuity At a Point Using the Definition Topic 1 11 Questions

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

AP Calculus AB Lim 2 A Justify Conclusions About Continuity At a Point Using the Definition Topic 1 11 Questions question 1

[Maximum number: 1]

If lim⁡x→af(x)=f(a)\lim _{x \rightarrow a} f(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.

All question bank results loaded