Let [t] denotes the greatest less than or equal to t. Let f : [0, ∞) → R be a function defined by f(x) = [ x2...

Question

Let [t] denotes the greatest less than or equal to t. Let f : [0, ∞) → R be a function defined by f(x) = [ x2 + 3 ] - [ x]. Let S be the set of all points in the interval [0, 8] at which f is not continuous. Then _ a S a is equal to ____.

Accepted Answer

17

JEE Main 2024 Mathematics question

Solution