# How do you find the limit of #(n^4+6n^2)/(n^4-2n+3)# as n approaches infinity?

##### 1 Answer

Jul 23, 2016

#### Explanation:

Since this is also known as an infinite limit, and both the numerator and denominator are polynomials, we can divide each term by the highest power, namely by

Therefore, we have

Also, since we know that

We can also graph our original function to see if this limit makes sense.

graph{(x^4+6x^2)/(x^4-2x+3) [-10, 10, -5, 5]}

In this case, we can see that as