JEE Main 2024 Mathematics question
Consider the function f : (0, ∞) → ℝ defined by . If m and n be respectively the number of points at which f is not continuous and f is not differentiable, then m + n is
Answer: (A)
Solution
f(x) = x for 0 < x < 1 and f(x) = 1/x for x ≥ 1. It is continuous everywhere (both pieces equal 1 at x = 1), so m = 0.
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