Barrons AP Calculus

(Marvins-Underground-K-12) #1
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

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