Terpujilah Kristus.
Excuse me ... .
\[ \lim_{x\to 0^+} \frac{1}{x} = +\infty \]
\[ \lim_{x\to 0^-} \frac{1}{x} = -\infty \]
Thus, $\displaystyle \lim_{x\to 0} \frac{1}{x}$ is undetermined because $\lim_{x\to 0^+} \frac{1}{x} \neq \lim_{x\to 0^-} \frac{1}{x}$ ... .
Hosana in excelcis.