# Example 15 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

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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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.