Conceptwise MCQ#!#Term 1#!#Left Hand and Right Hand Limits

Right Hand Rule

Right Hand Rule

Concept Of Limits|Left Hand Limit And Right Hand Limit|Existence Of Limit|OMR

Limits - Concept|Left Hand Limits & Right Hand Limits|Examples|Graphical Explanation|Understading Limits Of Some Special Functions|Algebraic Limits|OMR

Right Hand Thumb Rule

Definition|Left Hand Limit And Right Hand Limit Of A Function|(Two-Sided) Limit|Exercise Questions|OMR

Find the left hand and right hand limits of greatest integer function f(x)=[x]= greatest integer less than or equal to x, at x=k, where k is an integer.

A number consists of three digits which are in GP the sum of the right hand digits exceeds twice the middle digits by 1 and the sum of the left hand and middle digits is two thirs of the sum of the middle and right hand digits. Find the number.

Evaluate the left-hand and right-hand limits of the following function at x = 1 : f(x)={{:(5x-4",", "if "0 lt x le 1), (4x^(2)-3x",", "if "1 lt x lt 2.):} Does lim_(x to 1)f(x) exist ?