# Example 16 - 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 16 Prove that every rational function is continuous. Every Rational number is of the form where 0 & , are polynomial function Let = , 0 Where & are polynomials Since & are polynomials and we know that every polynomial function is continuous. & both continuous By Algebra of continuous function if , are continuous then is continuous. = is continuous for all real numbers except at points where 0

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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.