Let V i = { x ∈ R | − 1 i ≤ x ≤ 1 i } = [ − 1 i , 1 i ] for each positive integer i . a. ∪ i = 0 4 V i = ? b. ∩ i = 0 4 V i = ? c. Are mutually disjoint V 1 V 2 V 3 , ... mutually disjoint? Explain. d. ∪ i = 0 n V i = ? e. ∩ i = 0 n V i = ? f. ∪ i = 0 ∞ V i = ? g. ∩ i = 0 ∞ V i = ?
Let V i = { x ∈ R | − 1 i ≤ x ≤ 1 i } = [ − 1 i , 1 i ] for each positive integer i . a. ∪ i = 0 4 V i = ? b. ∩ i = 0 4 V i = ? c. Are mutually disjoint V 1 V 2 V 3 , ... mutually disjoint? Explain. d. ∪ i = 0 n V i = ? e. ∩ i = 0 n V i = ? f. ∪ i = 0 ∞ V i = ? g. ∩ i = 0 ∞ V i = ?
Solution Summary: The author explains how to calculate the value of the 'displaystyle underseti=0' for each positive integer i.
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