Answer
$\infty $
Work Step by Step
Given $$\lim_{x\to-5^-} \frac{3x}{2x+10}$$
When $ x $ approaches $-5$ from the left, then $2 x+10<0,$ so the denominator approaches
0 from the left side.
$ L=\frac{\rightarrow-15}{\rightarrow 0^{-}}=\infty $
This is because if the numerator approaches a negative number and the denominator approaches 0 from the left side, the result is $\infty $ .