[quad f(x)={[|x|," if "x!=0],[x],[0," if "x=0]]

The function f(x)={[(|x|)/(x) , if x!=0],[0, if x=0 is discontinuous at

Discuss the continuity of the function f(x)={:{((|x|)/(x)", if "x!=0),(0", if "x=0):}" at "x=0 .

Examine the continuity of f(x) = {{:((x)/(|x| )"," ,"if " x != 0),(0",", "if "x = 0):} at x = 0

Examine the continuity of a function f(x)={{:(|x|"cos"(1)/(x)", if "x!=0),(0", if "x=0):} at x=0 .

If f(x) = {:{(x/(|x|)" for "x != 0 ),(0 " for " x = 0 ):} , find Lim_(x to 0 ) f(x)

Show that the function f(x) given by f(x)={:{(x" sin "(1)/(x)", if "x!=0),(0" , if "x=0):} is continuous at x =0

Examine continuity and differentiability f(x)={[(1-e^(-x))/x,x!=0],[1,x=0]:} at x=0.