Let $f(x) = \begin{cases} \frac{7}{x+5}, & \text{if } x < -5\\ 3x + 17, & \text{if } x > -5 \end{cases}$ \\ Calculate the following limits. If the limit doesn't exist but it makes sense to call it $\infty$ enter Infinity, for $-\infty$ enter -Infinity; in other cases where the limit does not exist enter DNE.\\ $\lim_{x \to -5^-} f(x) = \boxed{} \\ \lim_{x \to -5^+} f(x) = \boxed{} \\ \lim_{x \to -5} f(x) = \boxed{}$
