Math Chapter Wise question with answer

Q01 The integer n for which (()))(((()))) x n x 0 cosx 1 cosx e lim x → − − is a finite non-zero number is English · TGT 2004 Q02 The non-zero value for the constant k so that the function f(x) defined by 2 tankx,x 0 x f(x) 3x 2k, 0 < = + ≥ will... English · PGT 2005 Q03 If [.] represent the Greatest Integer function and if ((())) 2 f x tan x = then English · TGT 2005 Q04 →∞ n x lim = 0, e (n integer), for: English · Haryana PGT 2018 Q05 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 Q06 If log(x+y) – 2xy = 0, and y(0) = 1, then y'(0) is: English · EMRS TGT-2023