Ex 5.1 ,4 - Chapter 5 Class 12 Continuity and Differentiability (Term 1)
Last updated at March 10, 2021 by Teachoo
Transcript
Ex 5.1, 4 Prove that the function f (x) = π₯^π is continuous at x = n, where n is a positive integer.π(π₯) is continuous at x = n if limβ¬(xβπ) π(π₯)= π(π) Since, L.H.S = R.H.S β΄ Function is continuous at x = n (π₯π’π¦)β¬(π±βπ) π(π) = limβ¬(xβπ) π₯^π Putting π₯=π = π^π π(π) = π^π β΄ Thus limβ¬(xβπ) f(x) = f(n) Hence, f(x) = xn is continuous at x = n
Ex 5.1
Ex 5.1 ,1
Ex 5.1 ,2
Ex 5.1, 3 (a)
Ex 5.1, 3 (b)
Ex 5.1, 3 (c) Important
Ex 5.1, 3 (d) Important
Ex 5.1 ,4 You are here
Ex 5.1 ,5 Important
Ex 5.1 ,6
Ex 5.1 ,7 Important
Ex 5.1 ,8
Ex 5.1, 9 Important
Ex 5.1, 10
Ex 5.1, 11
Ex 5.1, 12 Important
Ex 5.1, 13
Ex 5.1, 14
Ex 5.1, 15 Important
Ex 5.1, 16
Ex 5.1, 17 Important
Ex 5.1, 18 Important
Ex 5.1, 19 Important
Ex 5.1, 20
Ex 5.1, 21
Ex 5.1, 22 (i) Important
Ex 5.1, 22 (ii)
Ex 5.1, 22 (iii)
Ex 5.1, 22 (iv) Important
Ex 5.1, 23
Ex 5.1, 24 Important
Ex 5.1, 25
Ex 5.1, 26 Important
Ex 5.1, 27
Ex 5.1, 28 Important
Ex 5.1, 29
Ex 5.1, 30 Important
Ex 5.1, 31
Ex 5.1, 32
Ex 5.1, 33
Ex 5.1, 34 Important
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.