es of k so that the function fis continuous at the indicatedk cos xπ-

1.	es of k so that the function fis continuous at the indicatedk cos xπ-2x3,, if x2atx=2if x=-2ko2, if xs2at x = 2i3,if x > 2cos x,ifx>πifxS5-(kr + i,at x = 5
Answer» 1) value of cos(x)/(π-2x) at x = π/2 is -sin(x)/(-2 ... by.. L.H rule . so, at π/2 , the value is -1/2 so, k*(-1/2) = 3 => k = -6 2) kx² = 3 => k(2)² = 3 => k = 3/4 3) kπ+1 = cos(π) => kπ = -2 => k = -2/π

es of k so that the function fis continuous at the indicatedk cos xπ-2x3,, if x2atx=2if x=-2ko2, if xs2at x = 2i3,if x > 2cos x,ifx>πifxS5-(kr + i,at x = 5

Answer»

1) value of cos(x)/(π-2x) at x = π/2 is -sin(x)/(-2 ... by.. L.H rule . so, at π/2 , the value is -1/2

so, k*(-1/2) = 3 => k = -6

2) kx² = 3 => k(2)² = 3 => k = 3/4

3) kπ+1 = cos(π) => kπ = -2 => k = -2/π