Mathematics · 2022
JEE Main · 24 June 2022, Shift 2 · Q5
Let f(x)= {(sin (x-[x]))/(x-[x]), x ∈(-2,-1); max {2 x, 3[|x|]},|x|<1; 1, otherwise} where [t] denotes greatest integer ≤ t. If m is the number of…
Let $\displaystyle f(x)= \begin{cases}\frac{\sin (x-[x])}{x-[x]} & , x \in(-2,-1) \\ \max \{2 x, 3[|x|]\} & ,|x|<1 \\ 1 & , \text { otherwise }\end{cases}$
where $\displaystyle [t]$ denotes greatest integer $\displaystyle \leq t$. If $\displaystyle m$ is the number of points where $\displaystyle f$ is not continuous and $\displaystyle n$ is the number of points where $\displaystyle f$ is not differentiable, then the ordered pair $\displaystyle (m, n)$ is:
Official answer
(3)
$\displaystyle (2,3)$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.