Wrestling with the Fundamental Theorem of Calculus

A set has measure 0 if for we can put the set inside a
union of intervals whose total lengths are as close to 0
as we wish.
Examples:
Any finite set has measure zero.
The Cantor set has measure 0.
1
1 1 1 1 1 1 1 1
12
2
2 10 2 10 4 100 4 100
1 1 1 1
8 1000 8 1000
2 1
10 1 1 !
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