Range of the function f defined by f(x)=1sin⁡{x} (where [.] and {.} respectively denote the greatest integer and the fractional part functions) is

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Z, the set of integers

N, the set of natural numbers

W, the set of whole numbers

{2, 3, 4, ...}

answer is B.

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Detailed Solution

∵{x} ∈ [0, 1)∴sin {x} ∈ [0, sin 1) but f (x) is defined if sin {x} ≠ 0∴1sin⁡{x}∈1sin⁡1,∞.∴1sin⁡{x}∈{1,2,3…...}.