Question

Lt x.3Π by 4 cotx/ 2+cotx evalute limit.​

Answer 1

Answer:

$\lim _{x \to3\pi} \frac{4 \cot(x) }{2 + \cot(x) } \\ \\ = \lim _{x \to3\pi} \frac{4 \frac{1}{ \tan(x) } }{2 + \frac{1}{ \tan(x) } } \\ \\ = \lim _{x \to3\pi} \frac{4 }{2 \tan(x) +1 } \\ \\ as \: \: x \to3\pi \: \: then \: \tan(x) \to0 \\ = 4$