Mathematics · 2020
JEE Main · 9 January 2020, Shift 2 · Q58
Let [ t ] denote the greatest integer ≤ t and lim_x → 0 x[4/x]= A. Then the function, f(x)=[x^2] sin (π x) is discontinuous, when x is equal to:
Let $\displaystyle [\mathrm{t}]$ denote the greatest integer $\displaystyle \leq \mathrm{t}$ and $\displaystyle \lim _{x \rightarrow 0} x\left[\frac{4}{x}\right]=\mathrm{A}$. Then the function, $\displaystyle f(x)=\left[x^2\right] \sin (\pi x)$ is discontinuous, when $\displaystyle x$ is equal to:
Official answer
(2)
$\displaystyle \sqrt{\mathrm{A}+1}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.