Checking continuity using LHL and RHL
Example 10
Example 13 Important
Ex 5.1, 10
Ex 5.1, 11
Ex 5.1 ,6
Ex 5.1, 13
Ex 5.1, 12 Important
Example 11 Important
Example 7
Ex 5.1, 3 (a) You are here
Ex 5.1, 14
Ex 5.1, 16
Ex 5.1, 15 Important
Ex 5.1 ,7 Important
Ex 5.1, 25
Ex 5.1, 23
Ex 5.1, 24 Important
Ex 5.1 ,8
Ex 5.1, 9 Important
Ex 5.1, 29
Ex 5.1, 27
Ex 5.1, 28 Important
Ex 5.1, 17 Important
Ex 5.1, 18 Important
Ex 5.1, 26 Important
Ex 5.1, 30 Important
Example 15 Important
Checking continuity using LHL and RHL
Last updated at April 16, 2024 by Teachoo
Ex 5.1, 3 Examine the following functions for continuity. (a) f(x) = x β 5 f(x) = x β 5 To check continuity of π(π₯), We check itβs if it is continuous at any point x = c Let c be any real number f is continuous at π₯ =π if (π₯π’π¦)β¬(π±βπ) π(π)=π(π) (πππ)β¬(π±βπ) π(π) = limβ¬(xβπ) π₯ β 5 = c β 5 π(π) = c β 5 Since, L.H.S = R.H.S β΄ Function is continuous at x = c Thus, we can write that f is continuous for x = c , where c βπ β΄ f is continuous for every real number.