Determine the points at which the following function is discontinuous and state the type of discontinuity:

x^3-x/x(x^2-2x-3)

Question

Determine the points at which the following function is discontinuous and state the type of discontinuity:

x^3-x/x(x^2-2x-3)

anonymous · Answer

Can you factor the denominator?  That's where the discontinuities are.  I'll display it in a moment and but I'd like it if you could try that yourself first and double-check to see if you didn't mean this instead:
$$\frac{x^3-x}{x(x^2-2x-3)}$$
What you wrote is the same as:
$${x^3-1*(x^2-2x-3)}$$

anonymous · Answer

It makes a huge difference in the answers so please check what it was you actually meant

anonymous · Answer

sorry, i should have mentioned when i put a "/" it means I'm dividing from that point :P i still don't know how to do the equations and everything on here.

anonymous · Answer

and i know 0/0 = asymptotic discontinuity
and C/0 = hole discontinuity, its just a matter of actually finding them ;D haha