2) Further convergence tests and Power Series Flashcards
1
Q
What is the Improved Comparison Test
A
2
Q
Describe the proof of the Improved Comparison Test
A
3
Q
What is the nth Root Test
A
If ℓ = 1 or the limit does not exist, this test does not tell us anything
4
Q
Describe the proof of the nth Root Test
A
5
Q
What is the Ratio Test
A
6
Q
Describe the proof of the Ratio Test
A
7
Q
What is the Alternating Series Test
A
8
Q
Describe the proof of the Alternating Series Test
A
9
Q
What is Absolute Convergence
A
10
Q
What is the Absolute Convergence Theorem
A
If a series is absolutely convergent, it is
convergent.
11
Q
Describe the proof of the the Absolute Convergence Theorem
A
12
Q
What is a conditionally convergent series
A
If the series is convergent but not absolutely convergent
13
Q
What is a rearrangment of a series
A
14
Q
What is Riemann’s rearrangement theorem
A
15
Q
What is a Power Series
A
