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)

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)

anonymous · Answer

@xmarioz25 help please?

anonymous · Answer

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

anonymous · Answer

It'd be the first and third one.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

makes perfect sense thanks!