Question

limite: (x²+3x-10) / (2x²-x-6)
x>2 

Answer 1

$\displaystyle \lim_{x \to 2} \frac{x^{2}+3x-10}{2x^{2}-x-6} \\ \\ \\ \displaystyle \lim_{x \to 2} \frac{(x+5)(x-2)}{(2x+3)(x-2)} \\ \\ \\ \displaystyle \lim_{x \to 2} \frac{x+5}{2x+3} \\ \\ \\ \displaystyle \lim_{x \to 2} \frac{2+5}{2 \cdot 2+3} = \boxed{\boxed{1}}$