Question

What is the function with argument approaching infinity?

Answer 1

on x or y?

Answer 2

sorry or the previous question i'd like to change it into this question: how to graph this limit, Lim x squared minus 1 over x squared plus 1 as x approachers infinity. Pls help!

Answer 3

like this?:
\[\lim_{x\rightarrow \infty} \frac{x^{2}-1}{x^{2}+1}\]

Answer 4

yes

Answer 5

alright, when taking the limit as x goes to infinity of fractions in this form:
\[\frac{P(x)}{Q(x)}\]
where P(x) and Q(x) are polynomials, you look at the degree of the polynomials (the highest power of x in each polynomial. Looking at your problem, the degree of the top function is 2, and so is the degree of the bottom function.

Answer 6

horizontal aysmptotes are the easiest

Answer 7

So because the degrees are equal, to solve this, look at the coefficient in front of the x^2's and divide them. Here its not really that interesting, there are 1's in front of bth x^2's, so we just do 1/1 = 1, so the answer is 1

Answer 8

thank you sir... i got it.