Question

What is the limit of `(sin x) / (x^2 + 3x)` as x goes to infinity?

Answer 1

`lim_(xrarroo) (sin(x))/(x^2+3x) = 0`

Explanation:

`abs( sin(x)) <= 1, AA x`

`lim_(xrarroo) (x^2+3x) rarr oo`

The limit of any value less than or equal to a constant
divided by a value that approaches `oo` is `0`