Examine continuity of function f(x) =( (e^1/x)-1))/((e^1/x)+1)) at x=0 ?

Examine continuity of function f(x) =( (e^1/x)-1))/((e^1/x)+1)) at x=0
?

1 Answer
Sep 12, 2017

ff is not continuous at x=0.x=0.

Explanation:

By the Defn. of Continuity,

A function ff is continuous at x=0,x=0, if and only if,

lim_(x to 0-) f(x)=f(0)=lim_(x to 0+) f(x).

Observe that, f is not defined at x=0.

Therefore, f can not be continuous at x=0.