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Questions  

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

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

detailed solution

Correct option is A

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

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