Is it true that $\varliminf_{n \rightarrow +\infty} |n \sin n| = 0$, where $n$ runs over the integers?
The existence of the limes inferior follows from Dirichlet's approximation theorem, but the problem is to prove that it is $0$.
5 of 5
Copied the actual question from the title into the body of the text, and improved the formulation of the question.
Stefan Kohl ♦
- 19.6k
- 21
- 75
- 137
Is $\varliminf_{n \rightarrow +\infty} |n \sin n| = 0$ correct, where $n$ is an integer?
Y.X
- 399
- 1
- 6