## haterofmath 3 years ago limit of (x-1)^2(x+1) as x approaches 3

1. zzr0ck3r

is there any reason you just cant plug in 3?

2. alexwee123

^^ ya substitute 3 for x

3. haterofmath

i dont think. there's any steps i would have to show?

4. LeeYeongKyu

|dw:1347497171437:dw|

5. LeeYeongKyu

do you mean this?

6. zzr0ck3r

note: unless ding so makes you devide by zero, take a sqrt( a negative number ), or take a ln( negative number ), then you can plug in for x

7. zzr0ck3r

you can show what ever step you would in algebra.

8. zzr0ck3r

(3-1)^2 * (3+1) = 2^2 * 4 .....

9. haterofmath

$\lim_{x \rightarrow 2}(x-1)^2(x+1)$

10. haterofmath

sorry not 2 but 3

11. zzr0ck3r

3 or 2? Not that it makes a dif here, just plug in for x

12. zzr0ck3r

ahh ...

13. zzr0ck3r

now if it where lim x->3 of 1/(3-x) then you could not just plug in for x because you would get 1/0

14. zzr0ck3r

were

15. haterofmath

find the indicated one-sided limit. if the limiting value is inifinte indicate whther is is $+\infty or -$, $\lim_{x \rightarrow 4} (3x-9)$