# How do you determine the limit of # ((x^2 +2)/(x^3-1))# as x approaches 0?

##### 1 Answer

Apr 21, 2016

I found

#### Explanation:

I would try by approaching zero from the left and the right where you get, in both cases, that your function get as near as possible to the value

Your function is also continuous in

i.e., the limit at zero is equal to the function evaluated at zero or:

I would say that the limit exists and is equal to

Graphically you can see this as well:

graph{(x^2+2)/(x^3-1) [-10, 10, -5, 5]}