Sequences Flashcards
1
Q
Set Theory #1 (Pamphlet)
A

2
Q
Set Theory #2
A

3
Q
A sequence is a set of the for
A

4
Q
Sequence (denotation and variations)
A

5
Q
Notation for sequence and set
A
sequence: ( )
set: { }
6
Q
Difference between sequence and set
A
the sequence may contain repeating values but the set of values does not.
7
Q
Does a set have to be ordered?
A
No, that is up to us.
8
Q
A sequence is said to converge to the real number _ provided that
A
s

9
Q
Archimedian Property
A

10
Q
How do you write, (sn) converges to s?
A

11
Q
The number s is called the ____
A
limit of the sequence (s_n)
12
Q
A sequence that does not converge to some real number is said to __-
A
diverge
13
Q
The sequence that converges to the number e is
A

14
Q
Limit are ____ (Prove it)
A
Unique
15
Q
A