Chapter 1 - Limits and Continuity - 1.3 Limits At Infinity; End Behavior Of A Function - Exercises Set 1.3 - Page 79: 16

$$0$$

Given $$\lim _{x \rightarrow \infty}\frac{1}{x-12}$$ Then \begin{align*} \lim _{x \rightarrow \infty}\frac{1}{x-12}&=\lim _{x \rightarrow \infty}\frac{1/x}{x/x-12/x}\\ &=\lim _{x \rightarrow \infty}\frac{1/x}{1-12/x}\\ &=\frac{0}{1-0}\\ &=0 \end{align*}