Here is the question which I am trying to solve:
Determine if the following function is continuous at $x=0$:
$y=\frac{1}{1+e^{1/x}}$
For continuity, we know that there are three criteria:
- $f(a)$ is defined
- limit is finite
- $\lim\limits_{x\to a} f(x)=f(a)$
But here can we say that left and right limit are infinity? and does it mean that because $1/x$ is infinite then limit at zero is equal to values of function at point zero namely (positive infinite)?please help me to clarify solution of this problem