For Steifel’s IB Mathematical Studies Class.   A limit is a value that a function or sequence approaches as the input or index approaches some value.

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Presentation transcript:

For Steifel’s IB Mathematical Studies Class

  A limit is a value that a function or sequence approaches as the input or index approaches some value.  They are used to define the different types of continuity, derivatives, and integrals. What is a Limit

 Derivatives as you know them

 Limit Definition of a Derivative

 Example for the Limit Definition of a Derivative:

 Alternative Definition

 Example for the Alternative Definition:

 Different Derivative Notation

 One-Sided Derivatives

 Example of one-sided derivatives: