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If f:R rarr R is defined by f(x)=[2x]-2[...

If `f:R rarr R` is defined by f(x)=[2x]-2[x] for `x in R`, then the range of f is (Here [x] denotes the greatest integer not exceding x)

A

Z, the set of all integers

B

N, the set of all natural numbers

C

R the set of all real numbers

D

(0,1)

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The correct Answer is:
D
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