Originally Posted by
mr fantastic In other words, you consider the two limits:
$\displaystyle y = \lim_{x \rightarrow +\infty} \frac{7x^2 + x - 9}{x^2 + x - 2}$, and
$\displaystyle y = \lim_{x \rightarrow -\infty} \frac{7x^2 + x - 9}{x^2 + x - 2}.$
In this case, the limits have the same value.