Let fi: R and R be functions defined by 2 X if x #0 if x=0...

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Let fi: R and R be functions defined by 2 X if x #0 if x=0 " 2 2 (iii) f(x) = [sin(loge(x + 2))], where, for t = R, [t] denotes the greatest integer less than or equal to 1, x sin if x #0 if x=0 where the inverse trigonometric function tan x assumes values in 0 LIST-I P. The function fi is Q. The function is R. The function f3 is S. The function f4 is The correct option is: (A) P-2; Q3; R 1; S-4 (B) P 4; Q 1; R 2; S-3 (C) P 4; Q2; R-1; S-3 (D) P2; Q 1; R-4; S-3 1. 2. 3. 4. LIST-II NOT continuous at x = 0 continuous at x = 0 and NOT differentiable at x = 0 differentiable at x = 0 and its derivative is NOT continuous at x = 0 differentiable at x = 0 and its derivative is continuous at x = 0 Let fi: R and R be functions defined by 2 X if x #0 if x=0 " 2 2 (iii) f(x) = [sin(loge(x + 2))], where, for t = R, [t] denotes the greatest integer less than or equal to 1, x sin if x #0 if x=0 where the inverse trigonometric function tan x assumes values in 0 LIST-I P. The function fi is Q. The function is R. The function f3 is S. The function f4 is The correct option is: (A) P-2; Q3; R 1; S-4 (B) P 4; Q 1; R 2; S-3 (C) P 4; Q2; R-1; S-3 (D) P2; Q 1; R-4; S-3 1. 2. 3. 4. LIST-II NOT continuous at x = 0 continuous at x = 0 and NOT differentiable at x = 0 differentiable at x = 0 and its derivative is NOT continuous at x = 0 differentiable at x = 0 and its derivative is continuous at x = 0

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