Theorems Y1S2 Flashcards
1
Q
Sequential characterisation of limits
A
2
Q
Algebra of limits
A
3
Q
Characterisation of limits with one sided limits
A
4
Q
Sequential characterisation of continuity
A
5
Q
Continuity and limits (stricter?)
A
6
Q
Continuity and one sided limits
A
7
Q
Algebra of continuous functions
A
8
Q
Continuity of some functions
A
9
Q
Continuity of composites
A
10
Q
Intermadiate value theorem
A
11
Q
Weierstrass extremal value theorem
A
If should say so there exists
12
Q
Algebra of derivatives
A
13
Q
Differentiability of some functions
A
14
Q
Chain rule
A
15
Q
A
16
Q
Derivative of an inverse
A
17
Q
A
18
Q
Rolle’s Thrm
A
19
Q
Mean Value Theorem
A
20
Q
Cauchy mean value thrm
A
21
Q
A
22
Q
Monotonicity of derivatives
A
23
Q
De L’Hospital’s rule V1
A
24
Q
De L’Hospital’s rule V2
A
25
Q
Taylor’s Theorem
A
26
Q
Characterisation of the Taylor polynomial
A
27
Q
Second order conditions
A
28
Q
Radius of convergence (Thrm)
A
