# How do you find one sided limits without graph?

It is not very different from two-sided limits. When something is approaching $0$, then we need to pay special attention to which side it approaches $0$ from. Let us look at the examples below.
${\lim}_{x \to {2}^{-}} \frac{3 - 5 x}{x - 2} = \frac{3 - 5 \left({2}^{-}\right)}{\left({2}^{-}\right) - 2} = \frac{- 7}{0} ^ \left\{-\right\} = + \infty$
${\lim}_{x \to {2}^{+}} \frac{3 - 5 x}{x - 2} = \frac{3 - 5 \left({2}^{+}\right)}{\left({2}^{+}\right) - 2} = \frac{- 7}{0} ^ \left\{+\right\} = - \infty$