Chapter 1.5, Problem 54E

(a)

To determine

To calculate: Limit of the function $f\left(x\right)+g\left(x\right)$ where, limit of the function $f\left(x\right)$ and $g\left(x\right)$ is $-\infty$ and $3$, respectively, when $x$ tends to $c$.

(b)

To determine

To calculate: Limit of the function $f\left(x\right).g\left(x\right)$ where, limit of the function $f\left(x\right)$ and $g\left(x\right)$ is $-\infty$ and $3$, respectively, when $x$ tends to $c$.

(c)

To determine

To calculate: Limit of the function $\frac{g\left(x\right)}{f\left(x\right)}$ where, limit of the function $f\left(x\right)$ and $g\left(x\right)$ is $-\infty$ and $3$, respectively, when $x$ tends to $c$.