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Leibniz test


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