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nickymarden

  • 4 years ago

\frac { \sqrt [ 3 ]{ x } -\sqrt [ 3 ]{ 2 } }{ x-2 }

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  1. nickymarden
    • 4 years ago
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    \[\lim_{x \rightarrow 2}\frac { \sqrt [ 3 ]{ x } -\sqrt [ 3 ]{ 2 } }{ x-2 } \]

  2. nickymarden
    • 4 years ago
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    please help.

  3. nickymarden
    • 4 years ago
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    the answer is supposed to be \[\frac { 1 }{ 3 } \sqrt [ 3 ]{ 4 } \]

  4. brainshot3
    • 4 years ago
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    Plugging in 2 you get an indeterminant form, so you should be able to use l'hopitals rule

  5. TuringTest
    • 4 years ago
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    hint\[(a^3-b^3)=(a-b)(a^2+ab+b^2)\]

  6. nickymarden
    • 4 years ago
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    haven't gotten to l'hopitals rule yet

  7. TuringTest
    • 4 years ago
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    so use my hint :)

  8. nickymarden
    • 4 years ago
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    yeah, thank you :))

  9. nickymarden
    • 4 years ago
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    finished. :P

  10. TuringTest
    • 4 years ago
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    :)

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