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Let I = (1) u (2) R.. For x ∈ R, let @(x) = dist(x, I) = inf {x-y: y € I}. Then(a) @ is continuous on R but not differentiable only at x = 1, 3/2 and 2(b) @ is continuous on R but not differentiable only at x = 1(c) @s continuous on R but not differentiable only at x = 1 and 2.(d) @ is discontinuous somewhere on R.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared
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Let I = (1) u (2) R.. For x ∈ R, let @(x) = dist(x, I) = inf {x-y: y € I}. Then(a) @ is continuous on R but not differentiable only at x = 1, 3/2 and 2(b) @ is continuous on R but not differentiable only at x = 1(c) @s continuous on R but not differentiable only at x = 1 and 2.(d) @ is discontinuous somewhere on R.?, a detailed solution for Let I = (1) u (2) R.. For x ∈ R, let @(x) = dist(x, I) = inf {x-y: y € I}. Then(a) @ is continuous on R but not differentiable only at x = 1, 3/2 and 2(b) @ is continuous on R but not differentiable only at x = 1(c) @s continuous on R but not differentiable only at x = 1 and 2.(d) @ is discontinuous somewhere on R.? has been provided alongside types of Let I = (1) u (2) R.. For x ∈ R, let @(x) = dist(x, I) = inf {x-y: y € I}. Then(a) @ is continuous on R but not differentiable only at x = 1, 3/2 and 2(b) @ is continuous on R but not differentiable only at x = 1(c) @s continuous on R but not differentiable only at x = 1 and 2.(d) @ is discontinuous somewhere on R.? theory, EduRev gives you an
ample number of questions to practice Let I = (1) u (2) R.. For x ∈ R, let @(x) = dist(x, I) = inf {x-y: y € I}. Then(a) @ is continuous on R but not differentiable only at x = 1, 3/2 and 2(b) @ is continuous on R but not differentiable only at x = 1(c) @s continuous on R but not differentiable only at x = 1 and 2.(d) @ is discontinuous somewhere on R.? tests, examples and also practice UPSC tests.