How to evaluate $\lim_{x \to 0}\left(\frac{1}{x} - \frac{1}{x^2}\right)$ I have to find the limit of following
$$\lim_{x \to 0}\left(\frac{1}{x} - \frac{1}{x^2}\right)$$
I have no idea how to start this one off.
How would I do it?
Do I just substitute the $0$? It doesn't look that easy and simple. The answer says it's negative infinity.
Please show me a solution without graphing(unless for better explanation).

An idea. We take $\;x\;$ very close to zero, say $\;|x|<10^{-4}\;$ :
$$x>0:\;\;\frac1x-\frac1{x^2}=\frac{x-1}{x^2}<\frac{-\frac12}{x^2}=-\frac1{2x^2}$$
and now you only have to show the rightmost expresion is unbounded below, which I think is pretty easy.
