
 
Name  Statement  Comments 

Divergence Test  If then may or may not converge. Hint: Use the behavior of the limit, how goes to zero, as a clue! 

Comparison Test  Let be series with positive terms such that: if converges then converges. Similarly, if diverges, then diverges. 
While this test is the foundation of most other tests, use it as a last resort. Other tests are often easier to apply. 
 DickFurnas  16 Nov 2008