Answer:
1
Step-by-step explanation:
I would think (I'm not sure, but it's an idea)
[tex]\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}[/tex]
so when x becomes bigger and bigger
the
[tex]\frac{3}{x^{2} -1}[/tex]
will become smaller and smaller
to a point that it's practically 0
so the limit is 1
