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

Now learn Economics at Teachoo for Class 12


Transcript

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 - Teacher, Engineer, Marketer

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.