1. ## Strange limit

Hi,

Why does the limit of ((n+1)/n)^n when n -> infinity gives "e"? I calculated some values, but I thought that n+1 gave n, so it gave (n/n)^n = 1.

Thanks

2. Originally Posted by Xzander
Hi,

Why does the limit of ((n+1)/n)^n when n -> infinity gives "e"? I calculated some values, but I thought that n+1 gave n, so it gave (n/n)^n = 1.

Thanks
Does the limit $\lim_{h \to \infty} \left(1 + \frac{1}{h}\right)^h$ look familiar?

Notice that $\frac{n + 1}{n} = 1 + \frac{1}{n}$.

3. Thanks I understand now.