Converge vs. Diverge

Question 1

If the terms of a sequence don’t approach 0

Question 2

What is a geometric series?

When does it converge and when does it diverge?

Answer 2

Question 3

What is a p-series?

When does it converge and when does it diverge?

Answer 3

Question 4

What is the TEST FOR DIVERGENCE?

When does it converge and when does it diverge?

Answer 4

Question 5

What is the INTEGRAL TEST?

When does it converge and when does it diverge?

Answer 5

Question 6

What are the conditions of the integral test?

Answer 6

series must be decreasing and continuous

Question 7

What are 3 tests used to show that a series is decreasing?

Answer 7

Question 8

What is an infinite geometric series?

When does it converge and when diverge?

Answer 8

Question 9

What is the LIMIT COMPARISON TEST?

Answer 9

use another series to compare to

Question 10

What is the COMPARISON TEST?

Answer 10

compare to another series

Question 11

When do you use the comp/limit comp tests?

Answer 11

For infinite geometric series or something that resembles the p-series

Question 12

If a series has negative terms, which tests do you use?

Answer 12

ABSOLUTE CONV TEST and/or ALTERNATING SERIES TEST

Question 13

What is the ABSOLUTE CONV TEST?

Answer 13

Question 14

What is the ALTERNATING SERIES TEST?

Answer 14

Question 15

What is the RATIO TEST?

Answer 15

Question 16

What is the ROOT TEST?

Answer 16