If \[f(x)=\left\{ \begin{matrix} \frac{{{[x]}^{2}}+\sin [x]}{[x]}for[x]\ne 0 \\ 0for[x]=0 \\ \end{matrix} \right.\], where [x] denotes the greatest integer less than or equal to\[x,\] Then \[\underset{x\to 0}{\mathop{\lim }}\,f(x)\] equals

If \[f(x)=\left\{ \begin{matrix} \frac{{{[x]}^{2}}+\sin [x]}{[x]}

1.	If \[f(x)=\left\{ \begin{matrix} \frac{{{[x]}^{2}}+\sin [x]}{[x]}for[x]\ne 0 \\ 0for[x]=0 \\ \end{matrix} \right.\], where [x] denotes the greatest integer less than or equal to\[x,\] Then \[\underset{x\to 0}{\mathop{\lim }}\,f(x)\] equals
A.	1
B.	0
C.	-1
D.	None of these
Answer» E.

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If \[f(x)=\left\{ \begin{matrix} \frac{{{[x]}^{2}}+\sin [x]}{[x]}for[x]\ne 0 \\ 0for[x]=0 \\ \end{matrix} \right.\], where [x] denotes the greatest integer less than or equal to\[x,\] Then \[\underset{x\to 0}{\mathop{\lim }}\,f(x)\] equals

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