Question

lim x → 3π/2 (3π/2-x)tan x​

Answer 1

Answer:

$\lim_{x \rightarrow \frac{3\pi}{2} }( \frac{3\pi}{2 - x} ) \tan x \\ = ( \frac{3\pi}{2 - \frac{3\pi}{2}} ) \tan \frac{3\pi}{2} \\ = ( \frac{6\pi}{4 - 3\pi} ) \tan (\pi + \frac{\pi}{2} ) \\ = ( \frac{6\pi}{4 - 3\pi} ) \cot \frac{\pi}{2} \\ = ( \frac{6\pi}{4 - 3\pi} ) \times 0 \\ = 0 \\ \\ \red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$