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

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

Test the continuity of the function _(1)f(x)atx=0, where f(x)=(e^((1)/(x)))/(1+e^((1)/(x))), when x!=0=0, where x=0

Examine the continutiy of f (x) at x= 1 , where f(x)={{:((|x-1|)/(x-1),"when "xne1),(0,"when "x=1):}

Discuss the continuity of f(x) at x = 0 if: f(x) = {:{((sqrt(1+x)-sqrt(1-x))/sinx, when x≠ 0),(0, when x = 0):}

Test the continuity of f(x), where f(x)={x^(2)+x+1,0<=x<=1 and x^(2)+2,1

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

If f(x) is continuous at x=0 , where f(x)=(1+2x)^(1/x)", for " x!=0 , then f(0)=

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

If f(x) is continuous at x=0 , where f(x){:{((1)/(1+e^(1/x))", for " x!=0),(k", for " x=0):} , then k=