Theorems Flashcards
1
Q
What are the axioms for real numbers?
A
Field axioms
Completeness axioms
2
Q
Random numbered theorem about bounded sets
A
3
Q
Archimedean Postulate
A
4
Q
Triangle inequality
A
5
Q
Reverse Triangle inequality
A
6
Q
Bernoulli’s inequality
A
7
Q
Uniqueness of limits
A
For real or complex sequences there can only be 1 limit
8
Q
Random theorem in start of limits
A
9
Q
Algebra of limits
A
10
Q
Convergence test 1
A
11
Q
Squeeze theorem
A
12
Q
Bitten squeeze theorem
A
13
Q
Growth factor test
A
14
Q
Bolzano-weierstrass
A
15
Q
Cauchy convergence
A
A sequence converge iff it is a cauchy sequence
16
Q
Algebra of limits for series
A
17
Q
Orders of sequence
A
18
Q
Convergence by absolute convergence
A
19
Q
Rearrangement of series
A
