Find the Union of Intervals: A_n

[James Brady]

Homework Statement

Let $A_n = (n − 1, n + 1)$, for all natural numbers n. Find, with proof, $∪_{n≥1}A_n$

Homework Equations

What does that last statement mean? Union for n greater than or equal to one times the interval?

The Attempt at a Solution

I can't understand the question.

 

[Ray Vickson]

Homework Statement

Let $A_n = (n − 1, n + 1)$, for all natural numbers n. Find, with proof, $∪_{n≥1}A_n$

Homework Equations

What does that last statement mean? Union for n greater than or equal to one times the interval?

The Attempt at a Solution

I can't understand the question.

It means $A_1 \cup A_2 \cup A_3 \cup \ldots$.