Figure N2–12
Example 31 __
Is continuous at x = 2?
SOLUTION: g(x) is not continuous at x = 2 since . This
discontinuity can be removed by redefining g(2) to equal 4. See Figure N2–13.
Figure N2–13
Theorems on Continuous Functions
(1) The Extreme Value Theorem. If f is continuous on the closed interval
[a,b], then f attains a minimum value and a maximum value somewhere in