Math Chapter Wise question with answer

Q01 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 Q02 (((()))) 2 x 0 sin cos x lim x → π equals: English · NVS PGT 10-06-2019 Q03 If f (x) is the integral of 3 2sin x sin 2x,x 0 x − ≠ then ((()) x 0 lim f x → equals: English · UP PCS (Pre) 1998 Q04 → x 0 lim x log x equals: English · UP PCS (Pre) 1999 Q05 →∞ 2 2 2 3 n 1 + 2 +.......+ n lim n equals: English · UP PCS (Pre) 1999 Q06 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