f-x-is-continous-and-lim-x-f-x-prove-max-f-x-exist-

Question Number 212204 by liuxinnan last updated on 06/Oct/24

f (x) i s c o n t i n o u s a n d

\lim_{x \to \infty} f (x) = - \infty

p r o v e m a x (f (x)) e x i s t

Commented by mr W last updated on 06/Oct/24

{t h a t}^{'} s n o t t r u e . a c o u n t e r - e x a m p l e :

f (x) = - x^{3}

Commented by loredcs2357 last updated on 06/Oct/24

I think he means \lim_{x \to \pm \infty} f (x) = - \infty . In this case {it}^{'} s true .