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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

array |l|l| Column-I & Column-II (A) Maximum value of f(x) = ₂ ( 4 x+2 + 2-x ) & (P) 0 (B) The value of [4 _ n=1 ^ ⁻¹ (1 + _ k=1 ^n 2k ) ] = ([.] represent greatest integer function) & (Q) 1 (C) Let f(x) = x x, x > 0 then number of points in (0, 2) where f'(x) vanishes, is & (R) 2 (D) _ x 0^+ [ x e^x - 1 ] = ([.] represent greatest integer function) & (S) 3 array

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