Series test's Flashcards
1
Q
Infinite series equals to a?
A
Finite sum or infinite sum
2
Q
what does interval of convergence mean?
A
(domain of f(x))
3
Q
how to find interval of convergence?
A
ratio test with |absolute value|
4
Q
Divergence test
A
Limit as n approaches infinity a sub n doesn’t equal 0
5
Q
p-series converges
A
P>1
6
Q
p-series diverges
A
p
7
Q
Geometric Series converges
A
|r|
8
Q
Geometric Series Diverges
A
|r| > 1 series diverges
9
Q
Comparison test
A
Compare using 1/n^p or Geometric Series.
10
Q
Comparison test converges
A
Series smaller than a converger then series converges
11
Q
Comparision Test diverges
A
Series larger than a diverger then series diverges
12
Q
Limit comparison test
A
lim as n approaches a sub n/b sub n : use when a sub n is a rational function
13
Q
Ratio Test converges
A
0
14
Q
Ratio Test diverges
A
r > 1
15
Q
Ratio test fails
A
r = 1
