Math Chapter Wise question with answer

Q01 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 Q02 If 2 1-sin x π f(x) =, x 2 (π - 2x) ≠ is continuous at, π x 2 = then π f 2 is equal to English · GIC Lecturer Exam- 2015 Q03 If f''(x) is continuous at x = 0 and f'' (0) = 4, then value of (())) ((())) ((()) 3 x 0 2f x 3f 2x f 4x lim x → −... English · TGT 2004 Q04 If a function on R is defined by f(x) = 1 when x is rational and f(x) = –1 when x is irrational, then f(x) is disco... English · OAVS TGT 2018 Q05 If Signum function () x f x | x | = when x 0 and f(x)=0 when x = 0, then it is discontinuous at: English · OAVS TGT 2018 Q06 The function f is defined as () ≠ kcosx π,whenx π - 2x 2 f x = π 3, when x = 2 If f(x) is continuous at x =, 2 π th... English · UKPSC GIC 2018