Question

What is `lim n->∞` of `(2n^5-5n^2+12n)/(6n^6+3n^4-9n+7)`?

Answer 1

`= 0`

Explanation:

`lim_{n to oo} (2n^5-5n^2+12n)/(6n^6+3n^4-9n+7)`

`lim_{n to oo} (mathcalO(n^5))/(mathcalO(n^6))`

`lim_{n to oo} 1/n (mathcalO(n^5))/(mathcalO(n^5))`

`lim_{n to oo} 1/n`

`= 0`