Question

Evaluate the limit. lim n > [infinity] 9n^3 +5n - 2n/ 2n^3

Answer 1

The value of the limit is
`(9)/(2)`

Explanation:

When we are working with limits in which the variable goes to infinity, we only take the highest order factor of the numerator and of the denominator.

So we have

`$\lim_(t \to +\infty) (9n^(3))/(2n^(3))$`

We can simplify the cubes.

`$\lim_(t \to +\infty) (9)/(2)$`

The limit of a constant is the proper constant.

So the value of the limit is
`(9)/(2)`