For each $x \in R$, let $[x]$ be the greatest integer less than or equal to $x$. Then $\lim_{x \rightarrow 0^-} \frac{x([x] + |x|)\sin[x]}{|x|}$ is equal to (1) 1 (2) 0 (3) $-\sin 1$ (4) $\sin 1$
For each $x \in R$, let $[x]$ be the greatest integer less than or equal to $x$. Then $\lim_{x \rightarrow 0^-} \frac{x([x] + |x|)\sin[x]}{|x|}$ is equal to\\
(1) 1\\
(2) 0\\
(3) $-\sin 1$\\
(4) $\sin 1$