test the continuity of function at x=0 `f(x)={1/(1+2^(1/x))`, when `x!=0`, ` 1 ` when `x=0`}

Test the continuity of f(x) at x=0 where f(x)=(1)/(1+2^((1)/(tau))) when x!=0;f(x)=1 when x=0

Examine the continuity of the function f(x) at x = 0, f(x) = {:{(|sinx|/x, when x ne 0),(1, when x=0):}

Test the continuity of the function f (x) : f(x)={{:(x^(2)sin.(1)/(x),"when " xne0),(0,"when " x=0):}

Examine the continuity of the function f(x)={{:((|"sin"x|)/(x),"when " xne0),(" 1","when "x=0):}

Check the continuity of the function f(x)=2x-1, if x =0

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

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 and 1,x=0

Show that the function f(x) given by f(x)={((e^(1/x)-1)/(e^(1/x)+1), when x!=0), (0, when x=0):} is discontinuous at x=0 .