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

  1. #1
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    Question 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.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by EuptothepiI View Post
    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
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