Question

How do you solve this?

Answer 1

Answer:

1

Step-by-step explanation:

I would think (I'm not sure, but it's an idea)

$\frac{x^{2} +2}{x^{2} -1} =\frac{x^{2} -1+1+2}{x^{2} -1}\\\\=\frac{(x^{2}-1) +3}{x^{2} -1}=\frac{x^{2} -1}{x^{2}-1}+\frac{3}{x^{2} -1}\\\\=1+\frac{3}{x^{2} -1}$

so when x becomes bigger and bigger

the

$\frac{3}{x^{2} -1}$

will become smaller and smaller

to a point that it's practically 0

so the limit is 1