# What are all the removable discontinuities/holes and vertical asymptotres for #(2x^2)/(x^2-1)#?

##### 1 Answer

Oct 26, 2015

Since

at

#### Explanation:

These discontinuities are non-removable, as it makes a difference whether you approach these values from below of from above (try this and see the graph). This means that

Also, when

Between the values of *values* of the function there is a gap between

graph{2x^2/(x^2-1) [-16.02, 16.01, -8.01, 8.01]}