Question

What are the end behavior and the possible discontinuity of 2x+4/x^2-1?

Answer 1

So, The discontinuity would be at 1, since plugging in one for x would yield a zero in the denominator (It would be a non-removable one).

End Behavior:  $\lim_{x \to \infty} f_x = 0 \\\\ \lim_{x \to -\infty} f_x = 0$

(Zero is a the horizontal asymptope)