Math Chapter Wise question with answer

Q01 If n is a non-zero integer and (())) ((())) ((()) 2 x 0 sin nx a n nx tan x lim 0 x → − − = then a equal English · TGT 2004 Q02 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 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