f(x)= x/1+e^(1/x), x doesn't equal 0
defines a continuous function on R. Is f(x) differentiable?
I have no idea where to even begin. My teacher didn't even teach us this in class before assigning it...
You can get the first part
by taking the limit.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.