## anonymous one year ago lim x approaching 1 (x^2-1)/(x^2-x)

1. freckles

factor factor!

2. freckles

x^2-1 is a difference of squares and x^2-x you have each term having a common factor of x

3. anonymous

still dont know what to do

4. freckles

do you know how to factor x^2-1?

5. freckles

x^2-a^2=(x-a)(x+a) and you have a=1 so x^2-1=?

6. anonymous

0

7. freckles

x^2-1 is not always 0

8. freckles

x^2-1=(x-1)(x+1) just using the formula I gave you above

9. freckles

x^2-x=x(x-1)

10. freckles

$\lim_{x \rightarrow 1} \frac{x^2-1}{x^2-x}=\lim_{x \rightarrow 1} \frac{(x-1)(x+1)}{x(x-1)}$ you see anything that cancels?

11. anonymous

wow okay i wrote it wrong , thanks