Answer
$$\lim_{x\to0^-}\frac{5}{2x}=-\infty$$
Work Step by Step
$$A=\lim_{x\to0^-}\frac{5}{2x}$$
As $x\to0^-$, $2x$ approaches $0$ from the left, where $2x\lt 0$, so $5/2x$ will approach $-\infty$. Therefore,
$$A=\lim_{x\to0^-}\frac{5}{2x}=-\infty$$
