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Continuity of Functions

Continuity of Functions

Continuity at a Point via Formulas Exercises

Example 1

Determine whether the function

is continuous at each given value. If not, explain.

  • x = -5
  • x = -4
  • x = 0
  • x = 2
  • x = 3

Example 2

For what values of x is the function discontinuous.

Example 3

For the function, determine all values at which the function is discontinuous.

Example 4

For what values of x is h(x) discontinuous.