Test for continuity of the following function at `x = a`: f(x)={(x-, a) `sin(1/(x-a)`, where `x!=a` (x- a) 0 ,when `x = a`

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

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

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 and 1,x=0

Test continuity for the following function at zero? f(x)={(sin(1/x),,x,ne,0),(0,,x,=,0):}

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

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

Test continuity for the folowing functions. f(x)={(xsin(1/x), x ne0),(0,x=0):} at x=0