I want to calculate
$$\lim_{n\to \infty} n\sin(2\pi n! e)$$
I have used the Stirling approximation and I think the answer is zero . But I think the limit maybe not exists.
Can some one help? Thanks.
I want to calculate
$$\lim_{n\to \infty} n\sin(2\pi n! e)$$
I have used the Stirling approximation and I think the answer is zero . But I think the limit maybe not exists.
Can some one help? Thanks.