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Continuity of Functions

Continuity of Functions

Examples

Page (1 of 4) Examples:   1    2    3    4  

Example 1

Look at the graph of the function f(x).

The following three statements must all hold for f to be continuous at c.

  • The function f is defined at x = c.
      
  • The limit  exists.
      
  • The value f(c) agrees with the limit .

For each given value of c, determine whether each of the three statements holds. Use this to determine whether f is continuous at the given value of c.

  • c = -2
      
  • c = -1
      
  • c = 0
      
  • c = 2
      
  • c = 5

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