Here are the main points that will be addressed in the videos. Please read these and think about them as you watch.

  • Functions that “look” continuous on a graph may not actually be continuous.
  • A function is continuous at if . Implicit in this definition are three conditions for continuity of at :
    the function is defined at ,
    the limit of as exists, and
    the limit and function values are equal.
  • When a function is NOT continuous at , then at least one of the three conditions above are not satisfied.