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Please help finding limit (does exist. =1/48)

  1. Aug 27, 2014 #1
    1. The problem statement, all variables and given/known data

    limx->64 (x^1/3 - 4)/(x - 64)

    2. Relevant equations



    3. The attempt at a solution
    (64^1/3 -4)/(64 - 64) = 0/0 = not defined
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Aug 27, 2014 #2
    Take the derative of f(x) = x^1/3 -4 at x = 64.
     
  4. Aug 27, 2014 #3

    LCKurtz

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    Or factor ##x-64## as the difference of two cubes.
     
  5. Aug 27, 2014 #4
    Thanks. I am trying to help my daughter with AP calculus. The problem states to find the limit algebraically so I cannot take the derivative.
     
  6. Aug 27, 2014 #5

    dextercioby

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    LC Kurtz gave you the hint: use the decomposition a3-b3
     
  7. Aug 27, 2014 #6
    We got it. Thanks a lot you guys
     
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