Open Nested Interval Question

Question

Find a family $\{ I_n \}$ of open nested intervals such that no two $I_n$ are equal and the intersection is equal to $\left[-2,2\right]$.

This was asked earlier today. – David Mitra Jan 25 '14 at 22:44 — David Mitra, Jan 25 '14 at 22:44

score 2 · Answer 1 · answered Jan 25 '14 at 22:32

2

Let $I_n=(-2-\frac1n,2+\frac1n)$.

answered Jan 25 '14 at 22:32

1 Answers1