Question

Limx-2 x^2+x-6/x-2 решить предел

Answer 1

$\lim _{x\to \:2}\left(\frac{x^2+x-6}{x-2}\right)=5 \\ \\ \lim _{x\to \:2}\left(x+3\right) =2+3=5\\ \\ OTBET:5$

Подробнее $\frac{x^2+x-6}{x-2} \\ \\ x^2+x-6 \\ \\ \left(x^2-2x\right)+\left(3x-6\right) \\ \\ x\left(x-2\right)+3\left(x-2\right) \\ \\ \left(x-2\right)\left(x+3\right) \\ \\ \frac{\left(x-2\right)\left(x+3\right)}{x-2} =x+3$