Question

Ajutor!!!!
lim arccos(1-x^2/1+x^2)
x->infinit

Answer 1

   
[tex]\displaystyle\\ \lim_{x \to \infty} \arccos \left( \frac{1-x^2}{1+x^2} \right)= \\\\ =\arccos \left( \lim_{x \to \infty} \frac{1-x^2}{1+x^2} \right)=\\\\ =\arccos \left( \lim_{x \to \infty} \frac{-x^2+1}{x^2+1} \right)=\\\\ =\arccos \left( \frac{-1}{1} \right)=\arccos(-1) = \boxed{\bf \pi + 2k\pi }[/tex]