Question

Does the sequence \(a_n\) converge or diverge? Find the limit if the sequence is convergent \(a_n = \left(1 - \frac{1}{n}\right)^n\) Select the correct choice below and, if necessary, fill in the answer box to complete the choice. A. The sequence converges to \(\lim_{n \to \infty} a_n = 1\) (Type an exact answer) B. The sequence diverges.

          Does the sequence \(a_n\) converge or diverge? Find the limit if the sequence is convergent
\(a_n = \left(1 - \frac{1}{n}\right)^n\)
Select the correct choice below and, if necessary, fill in the answer box to complete the choice.
A. The sequence converges to \(\lim_{n \to \infty} a_n = 1\)
(Type an exact answer)
B. The sequence diverges.