Check sibling questions

Ex 5.1, 4 - Prove that f(x) = xn is continuous at x = n - Ex 5.1

Ex 5.1 ,4 - Chapter 5 Class 12 Continuity and Differentiability - Part 2

This video is only available for Teachoo black users

Introducing your new favourite teacher - Teachoo Black, at only β‚Ή83 per month


Ex 5.1, 4 Prove that the function f (x) = π‘₯^𝑛 is continuous at x = n, where n is a positive integer.𝑓(π‘₯) is continuous at x = n if lim┬(x→𝑛) 𝑓(π‘₯)= 𝑓(𝑛) Since, L.H.S = R.H.S ∴ Function is continuous at x = n (π₯𝐒𝐦)┬(𝐱→𝒏) 𝒇(𝒙) = lim┬(x→𝑛) π‘₯^𝑛 Putting π‘₯=𝑛 = 𝑛^𝑛 𝒇(𝒏) = 𝑛^𝑛 ∴ Thus lim┬(x→𝑛) f(x) = f(n) Hence, f(x) = xn is continuous at x = n

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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.