Thread: 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

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 look familiar?

Notice that .

Thanks I understand now.