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CGP EDU Academic Team
Published on: August 12, 2026
(1 − x + [x − 1] + [1 − x]) is equal to (where [.] denotes greatest integer function)
Text Solution
Verified by ExpertsThe correct answer is:
B
(1 − x + [x − 1] + [1 − x])
L.H.L.= 
(1 − x + [x − 1] + [1 − x]) = 
(1 − (1–h) + [1 – h − 1] + [1 – 1 + h])
= (h + [–h] + [h]) = 0 – 1 + 0 = – 1
R.H.L. 
=(1 − x + [x − 1] + [1 − x]) = (1 − (1+ h) + [1 + h − 1] + [1 – (1 + h)]
= 
(– h + [h] + [–h]) = 0 + 0 – 1 = – 1
L.H.L. = R.H.L. = – 1
so 
(1 − x + [x − 1] + [1 − x]) = – 1
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