quiz 4 Flashcards
1
Q
limit comparison test
A
use lim as k approaches ∞ of ak/bk
2
Q
ratio test
A
0 <= r < 1 series converges
r>1 series diverges
r=1 inconclusive
3
Q
root test (infinite series w non negative terms)
A
0 <= p < 1 series converges
p>1 series diverges
p=1 inconclusive
4
Q
geometric series test
{ Σn-1,k=0 (ar^k) : a*(1-r^n)/(1-r)
Σ∞,k=0 (ar^k) : a/(1-r) }
and second term over first
A
| | r | >= 1 DIVERGES
r | < 1 CONVERGES
5
Q
nth term divergence test
A
if limit as k approaches ∞ of ak does NOT equal 0, then series diverges
6
Q
p series test (continuous positive decreasing) for Σ∞, k=1 (1/(k^p)
A
p > 1 CONVERGES
7
Q
direct comparison test (if Σak and Σbk are infinite series w positive terms)
A
0 < ak <= bk and Σbk converges : CONVERGES
