Mention the point of discontinuity, if any , for the function
`f :IR to IR, f (x) = {{:(x + 1"," , x ge 0),( x -1"," , x lt 0):}`

find the points of discontinuity of the function f defined by f(x) = {(4x+1,x 0):}

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

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)=frac(3x+7)(x^2-5x+6

Examine the continuity of the following function at the given point : f(x) = {(1 + x, x 0),(1, x = 0):} at x = 0.

Examine the continuity of the following function at the given point : f(x) = {(x, 0 le x < 1/2),(1, x = 1/2),(1-x, 1/2 < x < 1):} at x = 1/2 .