Math Chapter Wise question with answer

Q01 The value of 2 x 0 xcosx log(1 x) lim x → − + English · TGT 2013 Q02 If f(x) = cosx cos2x cos4x cos8x cos16x, then π ' 4 f is: English · EMRS PGT-2023 Q03 If f(x) = |x – 1| + |x – 3|, then d y x at x = 2 is: English · EMRS PGT-2023 Q04 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 Q05 For x > 1, if (2x)2y = 4e2x–2y, then (1 + loge 2x)2 d y x is equal to: English · EMRS PGT-2023 Q06 If x = 2 sinθ – sin2θ and y = 2cosθ –cos2θ, θ∈ [0, 2π], then 2 d y dx at θ = π is: English · EMRS PGT-2023