Question

What is the limit of `(1+1/x)^x` as x approaches infinity?

Answer 1

`lim_"x->oo" (1+1/x)^x=e approx 2.71828`

Explanation:

Consider the standard limit: `lim_"x->oo" (1+k/x)^x = e^k`

In the example `k=1`

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

`=e approx 2.71828`