# Thread: Yo, I need help with extended functions that is continuous at an indicated point.

1. ## Yo, I need help with extended functions that is continuous at an indicated point.

f(x)=((x^3)-1)/((x^2)-1), x=1

2. ## Re: Yo, I need help with extended functions that is continuous at an indicated point.

Originally Posted by wbarner
f(x)=((x^3)-1)/((x^2)-1), x=1

$\displaystyle f(x) = \left\{ {\begin{array}{*{20}{rl}} {\frac{{{x^3} - 1}}{{{x^2} - 1}},}&{x \ne 1}\\ {\frac{3}{2},}&{x = 1} \end{array}} \right.$

3. ## Re: Yo, I need help with extended functions that is continuous at an indicated point.

Thank you but can you tell me how you did this

4. ## Re: Yo, I need help with extended functions that is continuous at an indicated point.

Originally Posted by wbarner
Thank you but can you tell me how you did this
Well, for one thing I learned how to factor:

$\displaystyle \dfrac{{{x^3} - 1}}{{{x^2} - 1}} = \dfrac{{(x - 1)({x^2} + x + 1)}}{{(x - 1)(x + 1)}} = \dfrac{{({x^2} + x + 1)}}{{(x + 1)}},~x \ne 1$

5. ## Re: Yo, I need help with extended functions that is continuous at an indicated point.

Ah crap, your right. Thank you