## anonymous 4 years ago \frac { \sqrt [ 3 ]{ x } -\sqrt [ 3 ]{ 2 } }{ x-2 }

1. anonymous

$\lim_{x \rightarrow 2}\frac { \sqrt [ 3 ]{ x } -\sqrt [ 3 ]{ 2 } }{ x-2 }$

2. anonymous

3. anonymous

the answer is supposed to be $\frac { 1 }{ 3 } \sqrt [ 3 ]{ 4 }$

4. anonymous

Plugging in 2 you get an indeterminant form, so you should be able to use l'hopitals rule

5. TuringTest

hint$(a^3-b^3)=(a-b)(a^2+ab+b^2)$

6. anonymous

haven't gotten to l'hopitals rule yet

7. TuringTest

so use my hint :)

8. anonymous

yeah, thank you :))

9. anonymous

finished. :P

10. TuringTest

:)