Tìm giới hạn \(B=\lim \limits_{x \rightarrow 1} \frac{x^{4}-3 x^{2}+2}{x^{3}+2 x-3}\)

* Hướng dẫn giải

\(B=\lim\limits _{x \rightarrow 1} \frac{\left(x^{2}-1\right)\left(x^{2}-2\right)}{(x-1)\left(x^{2}+x+3\right)}=\lim\limits _{x \rightarrow 1} \frac{(x-1)(x+1)\left(x^{2}-2\right)}{(x-1)\left(x^{2}+x+3\right)}=\lim\limits _{x \rightarrow 1} \frac{(x+1)\left(x^{2}-2\right)}{\left(x^{2}+x+3\right)}=-\frac{2}{5}\)