Past exam of the integration course of the University of Oxford / 2021 / 3 / a / ii

Table of contents
- Solution ii

Solution

The

2^{n}

component intervals are pairwise disjoint and each has length

q_{n} / 2^{n}

. Finite additivity of Lebesgue measure gives

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.

 Ancestors (12)

 Incoming links (1)

Past exam of the integration course of the University of Oxford / 2021 / 3 / a / Solution

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version