radou

Homework Helper

- 3,104

- 6

## Main Question or Discussion Point

I just spent about an hour going through the proof that f(x) = 1/x is continous at every point in R\{0}, and I'm still not completely sure if I understood the proof. I wonder if someome could perhaps present a more elegant and easy way to proove this, or is this the only way? I should actually present the proof here, but I'm interested in how someome else would proove that.

P.S. If there exists some proof using limits, I'm not really interested in it, since the textbook defines continuity of a function without using limits.

P.S. If there exists some proof using limits, I'm not really interested in it, since the textbook defines continuity of a function without using limits.