# Homework Help: How does this become e^x

1. Feb 21, 2013

### weirdobomb

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. Feb 21, 2013

### lurflurf

You should know that

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