Question

Помогите решить плиз.

Answer 1

1а)

$\lim_{x \to \infty} \frac{x^3+4x^2+4}{x^2+3x+2}= \lim_{x \to \infty} \frac{x^3(1+\frac{4}{x}+\frac{4}{x^3})}{x^2(1+\frac{3}{x}+\frac{2}{x^2})}=\infty$

1б)

$\lim_{x \to -1} \frac{2x^2+3x+1}{2x^2+5x+3}= \lim_{x \to -1} \frac{(x+1)(2x+1)}{(x+1)(2x+3)}= \lim_{x \to -1} \frac{2x+1}{2x+3}= \lim_{x \to -1} \frac{-1}{1}=-1$