Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 12 Apr, Morning shift · Q35

JEE Main 202312 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

[x]

be the greatest integer

\leq x

. Then the number of points in the interval

(-2,1)

, where the function

f(x)=|[x]|+\sqrt{x-[x]}

is discontinuous, is ___________.

Your answerType your answer. Integers and decimals are accepted.