Explanation
Calculation
The union of a collection of sets is the set of all elements that belong to at least one of the sets.
1. Identify the sets:
2. Apply the Union operation:
The notation ∪i=1∞Ai means:
Since all sets are exactly the same, their union does not add any new elements. In set theory, the union of identical sets is simply the set itself (X∪X=X).
3. Relate to the set of Integers (Z):
The set {1,2,3,…} represents all positive integers. In mathematical terms, this is denoted as Z+ or Z+.
Final Answer