[theta_(k)quad " is "f(x),=(1+x)^((1)/(x)),quad " when "x!=0],[,=c_(0)quad " when "x=0]

Is f(x)=(1+x)^((1)/(x)), when x!=0=e, when x=0 continuous at x=0?

Find the values of k for which f(x)={(1-cos4x)/(8x^(2)),quad when x!=0k,quad when x=0 is continuous at x=0

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

Show that the function f(x) given by f(x)={(e^(1/x)-1)/(e^(1/x)+1), when x!=00,quad when x=0 is discontinuous at x=0

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

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

If f(x)={((x)/(e^(1/x)+1),",","when" x != 0),(0,",","when"x = 0):} , then

If f(x)={((1)/(e^(1/x)+1),",","when" x != 0),(0,",","when"x = 0):} , then

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 .

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