Discuss the continuity at x=0 of function f defined by`f(x) =sin^2x+x^2-2x`

Examine continuity of the function f defined by. f(x)=x-5

Discuss the continuity of the function sin x+cox x

Discuss the continuity of the function sin x-cox x

Examine continuity of the function f defined by. f(x) =|x-5|

Discuss the continuity of the function f given by f(x) = {(2-x,x<2),(2+x,xge2):}

Examine continuity of the function f defined by. f(x) = frac (x^2-25)(x+5)

find the points of discontinuity of the function f defined by f(x) = {(x^3 - 3, x le 2),(x^2 + 1, x > 2):}

find the points of discontinuity of the function f defined by f(x) = {(sinx/x,x<0),(x+1,xge0):}

find the points of discontinuity of the function f defined by f(x) = {(|x|/x, x ne 0),(0,x=0):}