Question

What is the limit of `(x^2 - 7x)/(x+1)` as x goes to infinity?

Answer 1

I would say `oo`:

Explanation:

Consider:
`lim_(x->oo)((x^2-7x)/(x+1))=` collecting `x^2` and `x`:
`lim_(x->oo)((x^cancel(2)(1-7/x))/(cancel(x)(1+1/x)))=`
as `x->oo` then `1/x^n->0` so:
`(oo(1-0))/(1+0)=oo`