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

The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 \ \ \ \ \ \ \ 0,x=0 at x=0

Discuss the continuity of the function f(x)={((|x|)/x", " xne 0),(1", " x=0):} at x=0

Discuss the continuity of the function f(x)={((|x|)/x", " xne 0),(1", " x=0):} at x=0

Examine the differentiability of following function x=0,f(x)={e^(-(1)/(x^(2)))*sin((1)/(x))x!=0 and 0,x=0

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

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

Discuss the continuity of the function f(x) = {:{(x^2, x le 0),(1-x,x>0):} at 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