An alternating series CONVERTS if:
* Its generic term, in module, tends to zero.
* The series of modules is decreasing.
There are three different ways to verify that the module series is decreasing.
The) check that for all "k" positive integer, .
B) check that for all "k" positive integer, .
ç) consider the function f (x) = f (n) and check the signal of its derivative. If f '(x) <0, then f It is decreasing.Next: D'Alembert Test, Absolute Convergence