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Continuity ...




                 Smarties Inverted
                 Double Spiral (-1,2)
The 3-Part Definition of Continuity at a point.




      A function f is continuous at x = a then we must have the following three
      conditions.

        1. ƒ(a) is defined; in other words, a is in the domain of ƒ.

        2. The limit              must exist.

        3. The two numbers in 1. and 2., ƒ(a) and L, must be equal
                           Learn More at Visual Calculus
The three types of discontinuity ...
Explore the continuity of ƒ.
Explore the continuity of ƒ.




                          Practice by choosing one of these quizzes ...
HOMEWORK
White & Orange Book: Up to and including Page 103
      Blue Book: Up to and including Page 13

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Calculus 45S Slides February 28, 2008

  • 1. Continuity ... Smarties Inverted Double Spiral (-1,2)
  • 2.
  • 3.
  • 4. The 3-Part Definition of Continuity at a point. A function f is continuous at x = a then we must have the following three conditions. 1. ƒ(a) is defined; in other words, a is in the domain of ƒ. 2. The limit must exist. 3. The two numbers in 1. and 2., ƒ(a) and L, must be equal Learn More at Visual Calculus
  • 5. The three types of discontinuity ...
  • 7. Explore the continuity of ƒ. Practice by choosing one of these quizzes ...
  • 8.
  • 9.
  • 10.
  • 11. HOMEWORK White & Orange Book: Up to and including Page 103 Blue Book: Up to and including Page 13