Mathematics · 2019
JEE Main · 9 January 2019, Shift 2 · Q70
For each x ∈ R, let [x] be the greatest integer less than or equal to x. Then lim_x → 0^- (x([x]+|x|) sin [x])/(|x|) is equal to:
For each $\displaystyle x \in \mathbf{R}$, let $\displaystyle [x]$ be the greatest integer less than or equal to $\displaystyle x$. Then
$\displaystyle \lim _{x \rightarrow 0^{-}} \frac{x([x]+|x|) \sin [x]}{|x|}$ is equal to :
Official answer
(3)
$\displaystyle -\sin 1$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.