If `f(x) = -4sinx+cosx` for `x<=-pi/2;` `asinx+b` for `-pi/2=pi/2` is continuous then

if f(x)= sinx + cosx for 0 < x < pi/2

If the function f(x) = (1-sinx)/(pi-2x)^2 , x!=pi/2 is continuous at x=pi/4 , then find f(pi/2) .

If f(x)=(cos(sinx)-cosx)/x^4 is continuous over the domain and f(0)=1/k , then k=?

f(x) = (cos x - sinx)/(cos (2x)) , x ne (pi)/(4) is continuous on [ 0, (pi)/(2)] " then " f((pi)/(4)) =

Show that the function f(x)= |sinx + cos x| is continuous at x= pi

Show that the function f(x) = |sinx+cosx| is continuous at x = pi .

Show that the function f(x) = |sinx+cosx| is continuous at x = pi .

If f(x)={(-4sinx+cosx, "for",xle-(pi)/2),(a sin x+b,"for",-(pi)/2ltxlt(pi)/2),(cosx+2,"for",xge(pi)/2):} is continuous, then

If f(x)={(-4sinx+cosx, "for",xle-(pi)/2),(a sin x+b,"for",-(pi)/2ltxlt(pi)/2),(cosx+2,"for",xge(pi)/2):} is continuous, then

Find alpha and beta, so the function f (x) defined by f(x) =-2 sin x, "for" -pi le x le-pi/2 =alpha sinx+beta"for" -pi/2lt x lt pi/2 =cosx , "for" pi/2 le x le pi, is continuous on [-pi, pi].