Question

$\lim_{x \to \infty} \frac{x^{3} + x-19 }{x^{3} +x-21}$
Решите пожалуйста лимит

Answer 1

$\lim_{n \to \infty}\frac{x^3+x-19}{x^3+x-21} = \lim_{n \to \infty}\frac{1+\frac{1}{x^2}-\frac{19}{x^3}}{1+\frac{1}{x^2}-\frac{21}{x^3}} =\frac{1+0-0}{1+0-0}=1$

Answer 2

lim(x³+x-19)/(x³+x-21)=
x->oo

lim(1+1/x²-19/x³)/(1+1/x²-21/x³)=

1