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Home  Continuous Functions Continuity Examples Example 6 (Continued) |
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Example 6 (Continued)
The greatest integer function f(x) = [x] is continuous from the right but not from the left at each integer n because [n] = n, limx→n+ [x] = n, limx→n- [x] = n - 1. It is easy to check that f is continuous at c if and only if f is continuous from both the right and left at c.
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Last Update: 2006-11-24