Discuss the continuity of `f(x)=|sinx+cosx|` at `x=pi`

Discuss the continuity of f(x)=sinx+cosx

Discuss the continuity of f(x)=sinx-cosx

Discuss the continuity of f(x)=sgn(2cosx-1)

Discuss the continuity of f(x)=sgn(2cosx-1)

Discuss the continuity of f(x)=sgn(2cosx-1)

Discuss the continuity of the following functions at the points shown against them : {:(f(x)=(1-sinx)/(((pi)/(2)-x)^(2))",", "for"x ne(pi)/(2)),(=3",","for"x=(pi)/(2)):}}at x=(pi)/(2)*

Discuss the continuity of the following functions: f(x) = (sinx)/(cosx)