# What is the removable and nonremovable discontinuities in the equation #(x-2)/(x^2 + x - 6)#?

##### 1 Answer

May 29, 2015

The discontinuity you can't remove is at

But discontinuity at 2 can be removed, because at this point the value is not defined (both numerator and denominator are 0), but the limit

it is still discontinuous at -3, but it is continuous at 2