# Limits and continuity

AP®︎ Calculus AB,

Limits describe the behavior of a function as we approach a certain input value, regardless of the function's actual value there. Continuity requires that the behavior of a function around a point matches the function's value at that point. These simple yet powerful ideas play a major role in all of calculus.

This course contains 16 segments:

Defining limits and using limit notation

Estimating limit values from graphs

Estimating limit values from tables

Determining limits using algebraic properties of limits: limit properties

Determining limits using algebraic properties of limits: direct substitution

Determining limits using algebraic manipulation

Selecting procedures for determining limits

Determining limits using the squeeze theorem

Exploring types of discontinuities

Defining continuity at a point

Confirming continuity over an interval

Removing discontinuities

Connecting infinite limits and vertical asymptotes

Connecting limits at infinity and horizontal asymptotes

Working with the intermediate value theorem

Optional videos

Some things are not explicitly required by the AP Calculus AB course, but many teachers cover them and we also find them useful. We've gathered those optional videos here for your convenience.

Rating Not enough ratings 16 segments On Demand (Start anytime) Free Khan Academy On all desktop and mobile devices English Mathematics Math

## Careers

An overview of related careers and their average salaries in the US. Bars indicate income percentile.

Earned Value Management Analyst - NASA Extravehicular Activity Office, JSC \$53k

Earned Value Management (EVM) Specialist \$90k

Fabrication Value Stream Engineer Lead \$105k

Value Engineering/Value Analysis \$107k

Value Stream Management Manager \$110k

Value Analysis and Surgical Outcomes Program Manager \$111k

Value Stream Leader- Liquid Cooled Drives \$126k

New Markets Product Mgr - Stored Value Card \$129k

Acting Value Stream Team Leader Manager \$163k

## Write a review

Your opinion matters. Tell us what you think.