Check sibling questions

Ex 5.1, 3 - Examine for continuity (a) f(x) = x - 5 - Ex 5.1

Ex 5.1 ,3 - Chapter 5 Class 12 Continuity and Differentiability - Part 2


Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Ex 5.1, 3 Examine the following functions for continuity. (a) f(x) = x – 5 f(x) = x – 5 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) (π’π’Šπ’Ž)┬(𝐱→𝒄) 𝒇(𝒙) = lim┬(x→𝑐) π‘₯ βˆ’ 5 = c βˆ’ 5 𝒇(𝒄) = c βˆ’ 5 Since, L.H.S = R.H.S ∴ Function is continuous at x = c Thus, we can write that f is continuous for x = c , where c βˆˆπ‘ ∴ f is continuous for every real number.

Ask a doubt
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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.