Find the limit. $\lim _{x \rightarrow(x / 2)^{-}} \frac{-3}{5 \cos (x)}$
A) -$\infty$
B) $\infty$
C) $-\frac{3}{5}$
D) $\frac{3}{5}$

Question

Quizplus · Accepted Answer

As $x$ approaches $\frac{x}{2}$ from the left side, $\cos(x)$ approaches $0$ since the cosine function has a vertical asymptote at odd multiples of $\frac{\pi}{2}$. Thus, the denominator approaches $0$ and the fraction approaches negative infinity.

Find the Limit lim⁡x→(x/2)−−35cos⁡(x)\lim _{x \rightarrow(x / 2)^{-}} \frac{-3}{5 \cos (x)}limx→(x/2)−​5cos(x)−3​

Find the Limit $\lim _{x \rightarrow(x / 2)^{-}} \frac{-3}{5 \cos (x)}$