Series Tests Calc 2
0.0(0)
Studied by 1 person
Call Kai
Learn
Practice Test
Spaced Repetition
Match
Flashcards
Knowt PlayCard Sorting
1/9
Earn XP
Description and Tags
Last updated 1:35 PM on 10/27/22
Name | Mastery | Learn | Test | Matching | Spaced | Call with Kai |
|---|
No analytics yet
Send a link to your students to track their progress
10 Terms
1
New cards
Divergence Test
or DNE.
2
New cards
Integral Test
If a series turned into an integral converges or diverges, then the series also converges or diverges.
3
New cards
P-series
If p > 1 the series converges.
If p
If p
4
New cards
Geometric Series Test
First, recognize that the series is in the form of a geometric series (see image). Then test r (see image).
5
New cards
Direct Comparison Test
Compare two series together, an and bn.
If an >= bn, and bn diverges, then an diverges
If an
If an >= bn, and bn diverges, then an diverges
If an
6
New cards
Limit Comparison Test
If not zero, then both converge or diverge.
If 0 and bn converges, then an converges.
If infinity and bn diverges, then an diverges.
If 0 and bn converges, then an converges.
If infinity and bn diverges, then an diverges.
7
New cards
Alternating Series Test
If an alternating series (see image), it converges if
0 < a(sub n +1)
0 < a(sub n +1)
8
New cards
Absolute and Conditional Convergence of an Alternating Series
It has absolute convergence if the abs(an) of an converges, conditional convergence if an converges and abs(an) diverges.
9
New cards
Ratio Test
if 0
10
New cards
Root Test
p = what's in the image.
If 0
If 0
