Let \[f(x)=x{{(-1)}^{[1/x]}},x\ne 0,\] where [x] denotes the greatest integer less than or equal to x then, \[\underset{x\to 0}{\mathop{\lim }}\,f(x)=\]

Let \[f(x)=x{{(-1)}^{[1/x]}},x\ne 0,\] where [x] denotes the greatest

1.	Let \[f(x)=x{{(-1)}^{[1/x]}},x\ne 0,\] where [x] denotes the greatest integer less than or equal to x then, \[\underset{x\to 0}{\mathop{\lim }}\,f(x)=\]
A.	Does not exist
B.	2
C.	0
D.	-1
Answer» D. -1

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Let \[f(x)=x{{(-1)}^{[1/x]}},x\ne 0,\] where [x] denotes the greatest integer less than or equal to x then, \[\underset{x\to 0}{\mathop{\lim }}\,f(x)=\]

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