Question: For Problem, let ax + a,-1x-1 + bmx + bm 1x-1+ + a,x + ao f(x) = + bjx + bo ..

For Problem, let

a„x

be a rational function.

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

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

ax" + a,-1x"-1 + bmx" + bm 1x-1+ + a,x + ao f(x) = + bjx + bo ..

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