\[\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{\sin [x-3]}{[x-3]} \right],\] where \[[.]\] denotes greatest integer function is

\[\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{\sin [x-3]}{[x-3]} \

1.	\[\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{\sin [x-3]}{[x-3]} \right],\] where \[[.]\] denotes greatest integer function is
A.	0
B.	1
C.	Does not exist
D.	sin 1
Answer» D. sin 1

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\[\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{\sin [x-3]}{[x-3]} \right],\] where \[[.]\] denotes greatest integer function is

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