Home › TS EAPCET (Engineering) › Mathematics › Limits › For the greatest integer function [x], the left-…
For the greatest integer function [x], the left-hand limit at x = 3 is
AEqual to 4
BNot defined
CEqual to 3
DEqual to 2
Answer & Solution
Correct answer: D. Equal to 2
For x slightly less than 3, [x] = 2, so the left-hand limit is 2.
Related questions
A continuous function on a closed interval [a, b] attains a maximum by theWhich definition was introduced to formalise continuity?By the squeeze theorem, the limit of x^2 cos(1/x) as x tends to 0 isIf f(x) = 2x + 1 for x < 1 and f(x) = ax + 2 for x at least 1 is continuous, a equalsf(x) = x sin(1/x) for x not 0 is made continuous at 0 by setting f(0) tof(x) = |x| is continuous at 0 but at 0 it isEvery differentiable function at a point is alsoA function is right-continuous at c if no jump occurs when x approaches c from the