Question

HELP PLEASE!!!!
Which of the function(s) have a horizontal asymptote of y = 1? (Select all that apply.)
I. y=(x^2+1)/(x^2-1)
II. y=(x-1)/(x^2+1)
III. y=(x^2-1)/(x^2+1)

Answer 1

@xmarioz25 help please?

Answer 2

Divide by the highest exponent .
Apply the limit as x tends to infinity 1/x^r = 0

Answer 3

It'd be the first and third one.

Answer 4

yeah i had the third one down but i didnt know about the first one.

Answer 5

\[1. y = \frac{ \frac{x^2 }{x^2} + \frac{1}{x^2} }{ (x^2/x^2 -1/x^2) }\]
\[y = (1 + 0 )/(1-0) = 1\]

Answer 6

makes perfect sense thanks!