why would I want to help so you "can't do the rest"? I'd hope you can do the rest!
Anyway, we all know that 1/∞ = 0 (or that the limit if 1/x as x->∞ is zero), so divide both polynomials by the highest power of x in either, to get
(a + b/x^2) / (c/x + d/x^2)
Now all the fractions go away and we have
a/0 -> ∞
As you would expect, since x^2 grows so much faster than x.
Alternatively, since ascending powers of x grow so much faster than the previous, consider only the degree of each polynomial.
ax^2 + b -> ax^2
cx + d -> cx
so our limit is the same as
ax^2/cx = (a/c) x which -> ∞
Solve it step by step so I can't do the rest.
lim x->-infinity (ax^2+b)/(cx+d)
Thank you!
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