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Example 1

Let

03_continuous_functions-103.gif

At any point c ≠ 1, f is continuous. But f(1) is undefined so f is discontinuous at 1. However,

03_continuous_functions-104.gif

We can make f continuous at 1 by defining

03_continuous_functions-105.gif

(See Figure 3.4.2.)

03_continuous_functions-106.gif

Figure 3.4.2

Home Continuous Functions Continuity Examples Example 1

Last Update: 2006-11-15