The range of the function f defined by fx=1sinx (where [.] and {.}, respectively, denote the greatest integer and the fractional part functions) is

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I, the set of integers

N, the set of natural numbers

W, the set of whole numbers

{1,2,3,4,...}

answer is D.

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Detailed Solution

Since x∈0,1,sinx∈0,sin1 as f(x) is defined if sinx≠0 i.e.,1sinx∈1sin1,∞ or 1sinx∈1,2,3,......Note that, 1<π3 or sin11.155.

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