Shared Flashcard Set

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Calculus 2
difficult mathematics
12
Mathematics
Undergraduate 1
02/25/2015

Additional Mathematics Flashcards

 


 

Cards

Term
Partial Sum

- C/D
- Best Use
- Notes
Definition
C/D
Best Use: Pattern in Partial Sum
Notes: Limit of Partial Sum
Term
Telescoping

- C/D
- Best Use
- Notes
Definition
**only shows convergence
Best Use: Polynomial Fractions
Notes: Use Partial Fractions
Term
Geometric

- C/D
- Best Use
- Notes
Definition
C/D
Best Use: Exponential |r|<1
coverge
Notes: a / 1 - r
Term
Divergent

- C/D
- Best Use
- Notes
Definition
** only shows divergence
Best Use: easy limit
Notes: lim an (little N) = L > 0
n -> infinity
Term
Integral

- C/D
- Best Use
- Notes
Definition
C/D
Best Use: Easy Integral
Notes: Conv/Div together
Term
P- Series Test

- C/D
- Best Use
- Notes
Definition
C/D
Best Use: 1
--
n^p
Notes: Con => p>1
Div => p<1
Term
DCT

- C/D
- Best Use
- Notes
Definition
C/D
Best Use: Compare to known
Notes: (none listed...)
Term
LCT

- C/D
- Best Use
- Notes
Definition
C/D
Best Use: Better than DCT
Notes: lim an (little N)
n -> infinity ---------- > 0
bn (little N)
Term
AST

- C/D
- Best Use
- Notes
Definition
**only shows convergence
Best Use: (-1)^n
Notes: lim an (Little N) = 0
n -> infinity

an (little N) +1 <(less than or equal to) an (Little N)
Term
AVT

- C/D
- Best Use
- Notes
Definition
**only shows convergence
Best Use: (-1) ^ n
Notes: infinity
E (weird E) |an(little N)|
n = 1
Term
Ratio

- C/D
- Best Use
- Notes
Definition
C/D
Best Use: Exponential and Factorial
Notes: lim |an(little N) + 1|
n -> infinity | -----------|
| an (little N) |
Term
Root

- C/D
- Best Use
- Notes
Definition
C/D
Best Use: Exponential
Notes: lim n square root of |an(little N)|
n -> infinity
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