Folland Exercise 1.3.8 | Measure Theory

We solve exercise 8 from section 1.3 in Folland Real Analysis book. The measure of the liminf and limsup of sequences and the liminf and limsup of the measures of those sequences, how do they relate?

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Timestamps in this video:

0:00 Introduction.
0:26 Affiliate link: Folland's book.
1:20 Exercise explanation.
2:58 Part 1: Inferior limit.
8:20 Part 2: Superior limit.

#maths #exercise #measuretheory #analysis

[mdred]

5:45 why it is inf Lim not the opposite Lim inf¿

[Ahmad-urdz]

Hi
in the first Why the lim inf of E sub j equal the union of this intersection ?