For Problem, let ax + a,-1x-1 + bmx + bm 1x-1+ + a,x + ao

For Problem, let

be a rational function.

(a) If m > n, show that lim_x→∞ f(x) = 0 and hence that y = 0 is a horizontal asymptote.

(b) If m < n, find lim_x→∞ f (x). What does this say about horizontal asymptotes?

Transcribed Image Text:

a„x" + a,-1x"-1 + bmx" + bm– 1x™-1+ · · ·+ a,x + ao f(x) = + bjx + bo ..