go to jove.com

HIGH SCHOOL

Mathematics

Concept Videos

Math Fundamentals

This is a free preview. For full access

Limits

Types of Limits I

Description

Limits are a key mathematical concept for understanding how functions behave as their input approaches specific values, particularly when the function is undefined. They help reveal trends and discontinuities by examining the values a function approaches rather than its actual value.

One-sided limits focus on the direction from which a val...

Transcript

Limits describe how a function behaves as the input approaches a specific value.

This helps understand the function’s behavior near points where it is not defined, such as a gap in the graph where a value is missing, or a discontinuous jump where the graph suddenly shifts to another value.

A common example is a piecewise function, wh...

Tags

LimitsOne sided LimitsFunction BehaviorUndefined ValuesThreshold BehaviorOscillating BehaviorInstantaneous VelocityMarginal CostEconomic ProfitMathematical Framework