Math Chapter Wise question with answer

Q01 Let f be a strictly increasing and differentiable function. Then 2 x 0 f(x)-f (x) lim f(x) - f(0) → equals– English · TGT 2004 Q02 If f: → R R be a positive increasing function such that x f(3x) lim = 1 f(x) → ∞ → ∞ → ∞ → ∞, then x f(2x) lim f(x)... English · UKPSC Lecturer (Mains) 2020 Q03 If f(x) = cosx cos2x cos4x cos8x cos16x, then π ' 4 f is: English · EMRS PGT-2023 Q04 If f(x) = |x – 1| + |x – 3|, then d y x at x = 2 is: English · EMRS PGT-2023 Q05 If 2 1 k 1 k, () 1 0 x,0 1 2 3 2 + − − = − ≤ < ≤ + − x x f x x x x x is continuous at x = 0, then k equals: English · EMRS PGT-2023 Q06 For x > 1, if (2x)2y = 4e2x–2y, then (1 + loge 2x)2 d y x is equal to: English · EMRS PGT-2023