# [SOLVED] Points of discontinuity

• Aug 4th 2008, 08:28 PM
Snowboarder
[SOLVED] Points of discontinuity
Hi everyone.
I've been having problem with the one function
h(x)=(x^3-1)/(x^3-x)

I need to find all points of discontinuity.
Thx for any help
• Aug 4th 2008, 08:56 PM
Chris L T521
Quote:

Originally Posted by Snowboarder
Hi everyone.
I've been having problem with the one function
h(x)=(x^3-1)/(x^3-x)

I need to find all points of discontinuity.
Thx for any help

Did you try to factor it?

$h(x)=\frac{x^3-1}{x^3-x}=\frac{x^3-1}{x(x^2-1)}=\frac{(x-1)(x^2+x+1)}{x(x+1)(x-1)}$

Can you take it from here? It should be no problem now.

--Chris
• Aug 4th 2008, 08:58 PM
nikhil
Quote:

Originally Posted by Snowboarder
Hi everyone.
I've been having problem with the one function
h(x)=(x^3-1)/(x^3-x)

I need to find all points of discontinuity.
Thx for any help

Points of discontinuity are
at x=0,1,-1 as function's value is undefined at these points