 Solution

ID: past-exam-of-the-integration-course-of-the-university-of-oxford/2021/3/a/ii/solution

The

2^{n}

component intervals are pairwise disjoint and each has length

q_{n} / 2^{n}

m (C_{n}) = 2^{n} \frac{q _{n}}{2 ^{n}} = q_{n} .

Their endpoints do not cause overlaps, because the central gaps have strictly positive length.

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