Solve it step by step so I can't do the rest.

lim x->-infinity (ax^2+b)/(cx+d)

Thank you!
Answer th

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 -> ∞