Test the continuity of the following function at the origin; `f(x)={x/(|x|),x!=0 and 1,x=0`

Test the continuity of the following function at the origin: f(x)={(|x|)/x ;x!=0 1;x=0

Test the continuity of the following function at the origin: f(x)={(|x|)/x ;x!=0 1;x=0

Test the continuity of the following function at the origin: f(x)={(|x|)/x ;x!=0 ,1;x=0

Test the continuity of the following function at the origin: f(x)={(x)/(|x|),quad x!=01,quad x=0

Test the continuity of the following functions at indicated points : f(x) = {{:((x) "sin" 1/(x)"," ,x != 0),(0",", x = 0):} at x = 0

Check the continuity of the following functions: f(x){(1)/(1-e^((1)/(x))),x!=0 and 0,x=0

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

Test the continuity of the following functions at indicated points : f(x) = {{:(x^2 "sin" 1/x"," ,x != 0),(0",", x = 0):} at x = 0

Test the continuity of the function f(x) at the origin: f(x)= {:[(|x|/x,x not equals to 0),(0,x=0):}

Test the continuity of the following functions at indicated points : f(x) = {{:((x - a) "cos" 1/(x-a)"," ,x != a),(0",", x = a):} at x = a