10.4

Question 1

What does the direct comparison test for series say?

Answer 1

If ∑an and ∑bn are two series with 0<=an<=bn:

If ∑bn converges, ∑an also converges

If ∑an diverges, ∑ also diverges

Question 2

What does the limit comparison test say if the limit from n to infinity of an/bn = c and c>0

Answer 2

∑an and ∑bn either both converge or both diverge

Question 3

What does the limit comparison test say if the limit from n to infinity of an/bn = 0 and ∑bn converges

Answer 3

Then ∑an converges

Question 4

What does the limit comparison test say if the limit from n to infinity of an/bn = infinity and ∑bn diverges

Answer 4

Then ∑an diverges