45 If f(x) x 0 then f(x) is 3D 0, a differentiable at x 0 b continuous but not differentiable at x 0 c discontinuous at x 0 d none of these x 1, x 0 46 If f(x) then x 2x, x20 a f(xl) is discontinuous at x 0 b f( xf) is differentiable at x 0 c f(x) is non differentiable at x 0, 2 d Ax) is continuous at x 0 3D 1 4x , 0sx 1 (x 2x , 1sx 2' greatest integer function, then f(x) is a differentiable for all x b continuous at x 1 c non differentiable at x 1 47 If f(x) where denotes the d none of these 48 Let f(x) lim log (2 x) x sin 1 x n x Then a fis continuous at x 1 b lim f(x) log 3 3D lim Ax) sin 1 d lim Ax) does not exist 3D x sin 49 If f(x) x 0 0, x 0 is continuous but non differentiable at x 0, then ( 1,0) b ae (0, 2 d a e 1, 2) (0, 1 50 f(x) sin x cos x , x e 0, 2x , where denotes the greatest integer function The total number of points where f(x) is non differentiable is equwal to 3D 2 b 3

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Question: 45. If f(x) x >0 then f(x) is %3D 0, a. differentiable at x = 0 b. continuous but not differentiable at x =

45. If f(x) x >0 then f(x) is %3D 0, a. differentiable at x = 0 b. continuous but not differentiable at x =

45. If f(x) x >0 then f(x) is %3D 0, a. differentiable at x = 0 b. continuous but not differentiable at x = 0 c. discontinuous at x = 0 d. none of these x-1, x < 0 46. If f(x) = then x 2x, x20 a. f(xl) is discontinuous at x = 0 b. f(\xf) is differentiable at x = 0 c. f(x)| is non-differentiable at x = 0, 2 d. Ax)| is continuous at x = 0 %3D |1-4x |, 0sx

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