Question

lim senx + 3 cosx - cotg x quando x tende a pi/2

Answer 1

$\lim_{x \to \frac{\pi}{2}}~sen(x)+3.cos(x)-cotg(x)=\\\\sen( \frac{\pi}{2})+3.cos( \frac{\pi}{2})-cotg(\frac{\pi}{2})=\\\\1+3.0-0\\\\~1+0-0 = \\\\\boxed{\lim_{x \to \frac{\pi}{2}}sen(x)+3.cos(x)-cotg(x) = 1}$