Examine for continuity and differntiability, each of the following functions:
`f(x) = {:{(1+x,xle0),(1-x, x >0):} at x =0`

Examine for continuity and differentiability, each of the following functions: f(x) = {:{(x^2 sin (1/x), x ne 0),(0, x =0):} at x = 0

Examine for continuity, each of the following functions: f(x) = {:{((x-a) sin (1/(x-a)), x ne a), (0, x = a):} at x = a

Examine for continuity the following functions: f(x) = {:{(x^2, if xle1),(x-2,ifx>1):}

Examine for continuity the following functions: f(x) = {:(x/|x|, x ne 0),(0, x = 0):}

Discuss the continuity of the function f(x) = {:{(x^2, x le 0),(1-x,x>0):} at x = 0

Examine for continuity the following functions: f(x) = {:(x , if x ne 0),(1 , if x = 0):}

Examine the following functions for continuity: f(x) = {:{(e^(1//x), x ne 0),(1, x =0):} at x = 0

Examine the continuity of the function f(x) = {:{(3x-2,xle0),(x+1,x>0):} at x = 0

Examine the following functions for continuity: f(x) = {:{(x cos (1/x), x ne 0),(0, x = 0):} at x = 0

Examine for continuity the following functions: f(x) = {:{(sin x, if x < 0),(x, if x ge0):}