What is $\bigcap_{n=1}^{\infty}[\frac{1}{3n}, 1+\frac{1}{n})$ What is $\bigcap_{n=1}^{\infty}[\frac{1}{3n}, 1+\frac{1}{n})$
So, just from thinking about it logically, I got $\bigcap_{n=1}^{\infty}[\frac{1}{3n}, 1+\frac{1}{n})=[\frac{1}{3}, 1)$.
However, I'm not sure about whether the bound on the right should be closed or open. Is $1$ included in this set or not?

$1\in [1/3n, 1+1/n)$ for every $n\in \mathbb N.$
