Question

Calcule
lim x→0 1/x - 1/x2

Answer 1

$\displaystyle \lim_{\displaystyle \text x\to0} (\frac{1}{\text x}-\frac{1}{\text x^2}) \\\\\\ \lim_{\displaystyle \text x\to0} \frac{\text x^2-\text {x}}{\text x^2.\text x} \\\\\\ \lim_{\displaystyle \text x\to0} \frac{\text x -1}{\text x^2} = \frac{0-1}{0^2} \to \frac{-1}{0}\to -\infty \\\\\\ \text {Portanto}: \\\\\\ \huge\boxed{\lim_{\displaystyle \text x \to0}(\frac{1}{\text x}-\frac{1}{\text x^2}) = -\infty \ }\checkmark$