Match each series to the test that should be used to test for convergence/divergence. While it is possible that each test could apply to more than one series, in this exercise each is only used once.

Question

Match each series to the test that should be used to test for convergence/divergence. While it is possible that each test could apply to more than one series, in this exercise each is only used once.

	1.
	2.
	3.
	4.
	5.

a.	p-series test
b.	comparison test with a geometric series
c.	ratio test
d.	integral test
e.	alternating series test

Answer 1

1. e
2. b (compare with ∑(1/3ⁿ)
3. d
4. c
5. a (This is a p-series with p = 1/7)