# Math Help - lim x-> a (x^6-a^6)/(x^3-a^3)

1. ## lim x-> a (x^6-a^6)/(x^3-a^3)

Hello again, I cannot remember for the life of me how to do this sort of problem. I know that the answer is not zero or undefined though.

$lim x-> a (x^6-a^6)/(x^3-a^3) =$

(A) DNE
(B) 0
(C) $-1/(2a^3)$
(D) -1 / a^3
(E) $1/(2a^3)$

All assistance is appreciated.

2. Originally Posted by EuptothepiI
Hello again, I cannot remember for the life of me how to do this sort of problem. I know that the answer is not zero or undefined though.

$lim x-> a (x^6-a^6)/(x^3-a^3) =$

(A) DNE
(B) 0
(C) $-1/(2a^3)$
(D) -1 / a^3
(E) $1/(2a^3)$

All assistance is appreciated.
Hint: you can treat $x^6 - a^6$ as the difference of two squares