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Question

Function f(x)=x[x] where [ ] shows a greatest integer. This function is

A
A periodic function
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B
A periodic function whose period is1/2
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C
A periodic function whose period is 1
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D
Not a periodic function
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Solution

The correct option is C A periodic function whose period is 1

It is well known fact that fractional function always a periodic function whose periods is 1.

3x<2,2x<1,1x<0

y=f(x),0x+3<1,0x+2<1,

0x+1<1

0x<1,1x<2

0x<1,0x11.


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