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Flashcards in Sequences of events and their limits Deck (19)
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1

What is an equivalent statement to the following?

2

What is the following equal to.

3

What is the following equal to?

4

What is the following equal to?

5

Define lim sup An.

6

What is the following equal to?

7

What does lim sup An mean in terms of word?

Infinitly many of the An's occur.

8

Define lim inf An.

9

What does lim inf An mean in terms of words?

The An's will occur eventually

10

Define lim An.

11

Define increaseing/decreasing sequences.

12

What is a good way to think of a decreasinf sequence?

One that becomes more restrictive 

13

Finish the following lemma.

14

Prove the following lemma. 

15

What is Boole's inequality lemma.

16

Prove the following lemma.

17

What is the Borel-Cantelli lemma?

18

Prove the following lemma.

19