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How does this become e^x

  1. Feb 21, 2013 #1
    1. The problem statement, all variables and given/known data
    Would you give me a clue as to how, limit as z approaches infinity,
    [[1 + (1/z)]^z]^(1/3) = e^(1/3)


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 21, 2013 #2

    lurflurf

    User Avatar
    Homework Helper

    You should know that

    $$\lim_{z \rightarrow \infty} \left( 1+\frac{1}{z}\right) ^z =e$$

    Your result follows from it
     
  4. Feb 21, 2013 #3
    is there some sort of proof? or should i take it as it is for now?


    edit: nevermind, i read e on wikipedia.
     
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