Question

What is `lim x-> ∞` of `(2x^2-7)/(5x^2+x-3)`?

Answer 1

`= 2/5`

Explanation:

`lim_(x to oo) (2x^2-7)/(5x^2+x-3)`

`= lim_(x to oo) (2-7/x^2)/(5+1/x-3/x^2)`

`= lim_(x to oo) (2- 7lim_(x to oo) 1/x^2)/(5+ lim_(x to oo) 1/x- 3 lim_(x to oo) 1/x^2)`

`= 2/5`