Home
Class 11
MATHS
Introduction to Limits | LHL and RHL...

Introduction to Limits | LHL and RHL

Promotional Banner

Similar Questions

Explore conceptually related problems

Introduction to Friction || Static and Kinetic Friction || Limiting Friction || Graph Between Force and Friction

Introduction of functions | Introduction of Domain | Codomain and Range

Basics OF Limits Concept OF LHL and RHL

Function whose jump (non-negative difference of LHL and RHL ) of discontinuity is greater than or equal to one.is/are

Introduction ,Elements ,examples / Introduction, Properties, Leibniz Rule, Limit as a Sum ,Reduction Formula Estimation

Case Study|Introduction|Private Sector And Public Sector|Forms of Organising Public Sector Enterprises|Department Undertakings|Features|Limitations

Case Study|Introduction|Private Sector And Public Sector|Forms of Organising Public Sector Enterprises|Department Undertakings|Features|Limitations

Introduction Of Tringle|Introduction Of Quadrilaterals|OMR

Let y = f(x) be defined in [a, b], then (i) Test of continuity at x = c, a lt c lt b (ii) Test of continuity at x = a (iii) Test of continuity at x = b Case I Test of continuity at x = c, a lt c lt b If y = f(x) be defined at x = c and its value f(c) be equal to limit of f(x) as x rarr c i.e. f(c) = lim_(x to c) f(x) or lim_(x to c^(-))f(x) = f(c) = lim_(x to c^(+)) f(x) or LHL = f(c) = RHL then, y = f(x) is continuous at x = c. Case II Test of continuity at x = a If RHL = f(a) Then, f(x) is said to be continuous at the end point x = a Case III Test of continuity at x = b, if LHL = f(b) Then, f(x) is continuous at right end x = b. Number of points of discontinuity of [2x^(3) - 5] in [1, 2) is (where [.] denotes the greatest integral function.)