# What is the limit of #(5x-9)/(4x^3+1)# as x goes to infinity?

##### 2 Answers

Oct 9, 2015

0

#### Explanation:

It's clear from the graph shown below that as x gets bigger and bigger, the line gets closer and closer to 0. I know it's not very rigorous, but it works.

graph{(5x-9)/(4x^3+1) [-10, 10, -5, 5]}

Oct 9, 2015

See the explanation section.

#### Explanation:

For all

# = (5/x^2-9/x^3)/(4+1/x^3)#

and

So,

# = 0/4 = 0#