Math Chapter Wise question with answer

Q01 Let ≠ 1/x 0 1 e sin x 0 x f(x) =, x = 0 1+ e then: English · UP PCS (Pre) 1996 Q02 Let 1 sinx,x 2x 2 f(x), x 2 − π ≠ π − = π λ = is continuous at x 2 π = then the value of λ English · TGT 2010 Q03 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 Q04 Let (()) 3 x 1 acosx bsinx f(x),x 0,f(0) 1 x + − = ≠ = ≠ = ≠ = ≠ = if f(x) is continuous at x=0, a and b are given... English · PGT 2002 Q05 Let f(x) be defined by: sin2x:0 x 6 f(x) ax b: x 1 6 π < ≤ = π + < ≤ + < ≤ + < ≤ + < ≤ The value of a and b such th... English · PGT 2002 Q06 Let u (x) and v(x) be differential functions such that u(x) 7. v(x) = If () u' x v'(x) =p and ' u(x) q v(x) =, then... English · OAVS TGT 2022