Proving $\lim _{x \to 0^-} \frac{1}{x}=-\infty$ How do I calculate the limit:
$$\lim _{x \to 0^-} \frac{1}{x}$$
The answer is clearly $-\infty$, but how do I prove it? Its clear that as x approaches 0 from the right side, $x$, becomes infinitely small, but negative, making the limit go to $-\infty$, but how do I prove this mathematically?

show x = -.0001 then x = -.00000001 then x = -.00000000000000001. Choose values that get closer and closer to 0 then graph that. That is the best way I could show it. Is this what you mean? Or am I making this too simple?
