Question

Question #c1e0d

Answer 1

`lim_(x->oo)(x/(x+1))^x = 1/e`

Explanation:

You can write:

`(x/(x+1))^x = 1/((x+1)/x)^x = 1/((1+1/x)^x`

As:

`lim_(x->oo) (1+1/x)^x = e`

then:

`lim_(x->oo)(x/(x+1))^x = 1/e`