JEE Main 2022 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2022

The number of points where the function [t] denotes the greatest integer , is discontinuous is .

Answer: 7

Solution

f(−1) = 2 and , so f is continuous at x = −1. At x = 1, f(1) = 3 but the left limit is , so f is discontinuous at x = 1.

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Question ID VK-024154