LIMIT of a sequence?

Question

The problem of this is an = (n+1/n)^n?

Answer 1

Your notation is unclear! And presumably you mean the limit as n -> ∞

[n + (1/n)]ⁿ has no limit whereas

lim as n->∞ [(n+1)/n]ⁿ = lim as n-> ∞ [1 + (1/n)]ⁿ is one definition of e the base of natural logarithms, approximately 2.718.