Summary of Tests of Series Convergence

 

Test                    Series                 Converges                  Diverges

 

 

 

Geometric                                                     

 

 

 

 

Divergence                                                                              

 

 

 

 

Integral                            converges                     diverges

 

 

 

 

 

p-Series                                            p > 1                    0 < p < 1

 

 

 

 

Ratio