If \[f(x)=\cos \left[ \frac{\pi }{x} \right]\cos \left( \frac{\pi }{2}(x-1) \right);\] where [x] is the greatest integer function of x, then f(x) is continuous at

If \[f(x)=\cos \left[ \frac{\pi }{x} \right]\cos \left( \frac{\pi }{2}

1.	If \[f(x)=\cos \left[ \frac{\pi }{x} \right]\cos \left( \frac{\pi }{2}(x-1) \right);\] where [x] is the greatest integer function of x, then f(x) is continuous at
A.	x = 0
B.	x = 1, 2
C.	x = 0, 2, 4
D.	None of these
Answer» C. x = 0, 2, 4

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If \[f(x)=\cos \left[ \frac{\pi }{x} \right]\cos \left( \frac{\pi }{2}(x-1) \right);\] where [x] is the greatest integer function of x, then f(x) is continuous at

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