Ex 5.1, 1 - Prove f(x) = 5x - 3 is continuous at x = 0, -3 - Checking continuity at a given point

Slide2.JPG
Slide3.JPG Slide4.JPG

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

Transcript

Ex 5.1, 1 Prove that the function ( ) = 5 3 is continuous at = 0, at = 3 and at = 5 Given ( ) = 5 3 (i) At = f is continuous at x = 0 if ( ) = ( ) Since, L.H.S = R.H.S lim x 0 ( ) = (0) Hence, f is continuous at = (ii) At x = 3 f is continuous at x = 3 if lim x 3 = 3 Since, L.H.S = R.H.S lim x 3 ( ) = ( 3) Hence, f is continuous at = 3 (iii) At = f is continuous at x = 5 if lim x 5 = 5 Since, L.H.S = R.H.S lim x 5 = 5 Hence, f is continuous at = Thus the function is continuous at = , at = & at =

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 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.