If \[f(x)=\left\{ \begin{align} & \frac{\sin [x]}{[x]},\text{ when }[x]\ne 0 \\ & \,\,\,\,\,\,\,\,\,0,\text{ when }[x]=0 \\ \end{align} \right.\] where [x] is greatest integer function, then \[\underset{x\to 0}{\mathop{\lim }}\,f(x)=\] [IIT 1985; RPET 1995]

If \[f(x)=\left\{ \begin{align} & \frac{\sin [x]}{[x]},\text{ when

1.	If \[f(x)=\left\{ \begin{align} & \frac{\sin [x]}{[x]},\text{ when }[x]\ne 0 \\ & \,\,\,\,\,\,\,\,\,0,\text{ when }[x]=0 \\ \end{align} \right.\] where [x] is greatest integer function, then \[\underset{x\to 0}{\mathop{\lim }}\,f(x)=\] [IIT 1985; RPET 1995]
A.	?1
B.	1
C.	0
D.	None of these
Answer» E.

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If \[f(x)=\left\{ \begin{align} & \frac{\sin [x]}{[x]},\text{ when }[x]\ne 0 \\ & \,\,\,\,\,\,\,\,\,0,\text{ when }[x]=0 \\ \end{align} \right.\] where [x] is greatest integer function, then \[\underset{x\to 0}{\mathop{\lim }}\,f(x)=\] [IIT 1985; RPET 1995]

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