Chapter 1 - Limits and Continuity - 1.3 Limits At Infinity; End Behavior Of A Function - Exercises Set 1.3 - Page 79: 15

$$0$$

Given $$\lim _{y \rightarrow-\infty}\frac{3}{y+4}$$ Then \begin{align*} \lim _{y \rightarrow-\infty}\frac{3}{y+4}&=\lim _{y \rightarrow-\infty}\frac{3/y}{y/y+4/y}\\ &=\lim _{y \rightarrow-\infty}\frac{3/y}{1+4/y}\\ &=\frac{0}{1+0}\\ &=0 \end{align*}