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CGP EDU Academic Team
Published on: August 13, 2026
Let [t] denote the greatest integer less than or equal to t. Let f(x) = x − [x], g(x) = 1 − x + [x], and h(x) = min{f(x), g(x)}, x ∈ [−2, 2]. Then h is :
Text Solution
Verified by ExpertsThe correct answer is:
A
min{x − [x], 1 − x + [x]}
h(x) = min{x − [x], 1 − [x − [x])}

always continuous in [-2,2]
but non differentiable at Points
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