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Limits of Functions

The idea of limit is foundational throughout calculus. The lessons and resources in this unit provide numerical and graphical tools for investigating limits, including a graphical interpretation of the formal epsilon-delta definition of limit in the context of viewing windows.

Calculus: Limits of Functions Activities

Title Type

Epsilon-Delta Window Challenge

Make sense out of the formal mathematical definition of limit.

Alignments  Standards  |  Textbook  
  • 5834

Limits of Functions

Investigate limits of functions at a point numerically.

Alignments  Standards  |  Textbook  
  • 5972

Basic Limits

Graphically find one-sided and two-sided limits.

Alignments  Standards  |  Textbook  
  • 5747

Limits at Infinity

Numerically investigate the limit of a function as the magnitude of the input grows without bound.

Alignments  Standards  |  Textbook  
  • 5253

A Tale of Two Lines

Demonstrate a visual justification for l'Hôpital's Rule.

Alignments  Standards  |  Textbook  
  • 5373
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