We know
Let's simplify this first.
=
Let , as
Dear all,
I am trying to find, analytically, the limit of ((x-1)/x)^x as x->infinity.
I tried l'Hopital's rule but it seems to make it more complicated. I know that the limit is 1/e but need to show my working and understand why it is 1/e.
Hope you can help!
Many thanks
Mike