I'm trying to evaluate the following limit: $$\lim_{x\rightarrow\pi/2}\frac{\cos(x)}{(1-\sin(x))^{2/3}}$$ The limit has the form $\frac{0}{0}$, I've tried using L'Hopital's rule but I can't resolve it. Any idea?
Limit $\frac{0}{0}$ which tends to $\frac{\pi}{2}$
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calculus