Example 5 - Check the points where f(x) = k is continuous - Examples

part 2 - Example 5 - Examples - Serial order wise - Chapter 5 Class 12 Continuity and Differentiability
Β 

Β 

Share on WhatsApp

Transcript

Example 5 Check the points where the constant function 𝑓 (π‘₯) = π‘˜ is continuous. Given 𝑓(π‘₯)=π‘˜ (where π‘˜ is any constant) To check continuity of 𝑓(π‘₯), We check it’s if it is continuous at any point x = c Let c be any real number f is continuous at π‘₯ =𝑐 if (π₯𝐒𝐦)┬(𝐱→𝒄) 𝒇(𝒙)=𝒇(𝒄)L.H.S (π₯𝐒𝐦)┬(𝐱→𝒄) 𝒇(𝒙) "= " lim┬(x→𝑐) " " π‘˜ = π‘˜ R.H.S 𝒇(𝒄) = π‘˜

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo