JEE Main 2019 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2019

Let be defined as

f(x) =

where [t] denotes the greatest integer less than or equal to t. Then, f is discontinuous at:

Answer: (B)

Solution

Jumps at x = 0 (−1 → 0), x = 1 (1 → 2) and x = 3 (5 → 6); continuous at x = 2.

Question ID VK-009364