Question

Help - I have three problems that I am stuck on -

1. Lim x approaches infinity
(x-3/x squared + 4)

2. Lim x approaches 3
x cubed - x squared - 7 x +3/
x squared - 9

3. Lim x approaches negative infinity
(x + square root x squared + 2x)

Answer 1

1. You need to use more parentheses to clarify the mathematical operation. I will assume you mean
1. Lim x -> infinity
(x-3)/(x^2 + 4)

When x approaches infinity, you can neglect the constant terms, and you get
Lim x -> infinity
(x/x^2) = 1/x

As x-> infinity, that approaches zero.