Question

Вычислить пределы …..

Answer 1

$1)\; \; \lim\limits _{x \to 2}\frac{4x^2-7x-2}{5x^2-9x-2}=\lim\limits _{x \to 2}\frac{4\, (x-2)(x+\frac{1}{4})}{5\, (x-2)(x+\frac{1}{5})}=\lim\limits _{x \to 2}\frac{4x+1}{5x+1}=\frac{9}{11}$

$2)\; \; \lim\limits _{x \to 4}\frac{2x^2-7x-4}{3x^2-13x+4}=\lim\limits _{x \to 4}\frac{2\, (x-4)(x+\frac{1}{2})}{3\, (x-4)(x-\frac{1}{3})}=\lim\limits _{x \to 4}\frac{2x+1}{3x-1}=\frac{9}{11}$