Introduction to Calculus and Rates of Change · Calculus Foundations

The Concept of a Limit

Exploring the behavior of functions as they approach a specific value from both sides.

Key Questions

  1. 1How can a function have a limit at a point where the function itself is undefined?
  2. 2Under what conditions does a limit fail to exist at a specific x-value?
  3. 3Why is the formal definition of a limit necessary for the rigorous development of calculus?

Ontario Curriculum Expectations

ON: Derivatives and their Applications - Grade 12ON: Rate of Change - Grade 12
Grade: Grade 12
Subject: Mathematics
Unit: Introduction to Calculus and Rates of Change
Period: Calculus Foundations

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More in Introduction to Calculus and Rates of Change

The Derivative Function

Defining the derivative as the limit of the difference quotient and the slope of a tangent line.

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