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Q.

Let f (x) = (–1)[x] (where [ . ] denotes the greatest integer function), then

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a

Range of f is {–1, 1}

b

f is an even function

c

f is an odd function

d

limx→n f(x) exists, for every integer n

answer is A.

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Detailed Solution

f (x) = (–1)[x] = {–1, 1}, since [x] ∈ Z.
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