Behavior of Reciprocal

With $y=1/x$

A little bit to the negative: $0^{-}$ A little bit to the Positive: $0^{+}$ as $x\to 0^{-},y\to -\infty$ as $x\to 0^{+},y\to \infty$ as $x\to \infty ,y\to 0^{+}$ as $x\to -\infty ,y\to 0^{-}$