Example 15 - Find all points of discontinuity of greatest integer - Examples

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  1. Chapter 5 Class 12 Continuity and Differentiability
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Example 15 (Introduction) Find all the points of discontinuity of the greatest integer function defined by ( ) = [ ], where [ ] denotes the greatest integer less than or equal to Greatest Integer less than equal to Example 15 Find all the points of discontinuity of the greatest integer function defined by ( ) = [ ], where [ ] denotes the greatest integer less than or equal to Given f (x) = Let c be any real number f is continuous at x = c if LHL = RHL = f(c) i.e. lim ( ) = lim + ( ) = f(c) Since lim ( ) lim + ( ) f is discontinuous for all x

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