# MA.912.C.1.9

Define continuity in terms of limits.

### Examples

Example: Given that the limit of g(x) as x approaches to 5 exists, is the statement “g(x) is continuous at x=5” necessarily true? Provide example functions to support your conclusion.
General Information
Subject Area: Mathematics (B.E.S.T.)
Strand: Calculus
Status: State Board Approved

## Related Courses

This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## Tutorials

Limits to Define Continuity:

We will use limits to define continuity.

Type: Tutorial

Determining which limit statements are true:

This video demonstrates how to determine which limit statements are true.

Type: Tutorial

## Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Tutorials

Limits to Define Continuity:

We will use limits to define continuity.

Type: Tutorial

Determining which limit statements are true:

This video demonstrates how to determine which limit statements are true.

Type: Tutorial

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.