Solving Homework Problem: ln and e Inverse Process

[Jac8897]

Homework Statement

http://img513.imageshack.us/img513/2687/problem15001.jpg

Homework Equations

I know the answer is e but i forgat how to do the lny=xln(1+1/n) and then I solve an get an e because ln and e are inverse but i forgot the process can you please show me the process

The Attempt at a Solution

 

[lanedance]

at the stage

$$\stackrel{lim}{n \rightarrow \infty}, ln(y) = n.ln(1+1/n)$$

the limit is indeterminant 0 * infinity, so can you re-write it and use l'hospital's rule...?