Check Full Chapter Explained - Continuity and Differentiability - Continuity and Differentiability Class 12

Example 16 - Prove that every rational function is continuous - Examples


  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise


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

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.