Question

How do you find the limit of `4 / (x + sin x)` as x approaches infinity?

Answer 1

0

Explanation:

`lim_(x to oo) 4 / (x + sin x)`

there's not a great deal to do here, i might start with this statement

`= 4 /(lim_(x to oo) (x + sin x))`

and because `sin x in [-1,1]`

`= 4 /(lim_(x to oo) x) = 0`