" 4) Let "f(x)=(|x|(3e^((1)/(|x|))+4))/(2-e^(y_(1)|1));x!=0^(xi(0)=0)

l(x)=[(x(3e^((1)/(x))+4))/(2-e^((1)/(x))),x!=0;0,x=0

Discuss the continuity and differentiability of the function f(x)={(|x|(3e^((1)/(2e))+4))/(2-e^((1)/(|x|))),x!=0x=0atx=0

Let f(x)=x^(2)(e^(1/x)e^(-1/x))/(e^(1/x)+e^(-1/x)),x!=0 and f(0)=1 then-

Show that, f(x)= {((e^((1)/(x))-1)/(e^((1)/(x))+1)",",x ne 0),(0",",x=0):} . Is discontinuous at x= 0

Examine the continuity of the function f(x) = {((e^((1)/(x)))/(1 + e^((1)/(x)))",","if " x ne 0),(0",","if" x = 0):} at x= 0

The function f(x)=x*e^(-((1)/(|x|)+(1)/(x))) if x!=0 and f(x)=0 if x=0 then

If f(x)={(e^((1)/(x))/(1+e^((1)/(x)))",", x ne0),(0",",x=0):} , then