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Unlike stronger convergence tests, the term test cannot prove by itself that a series converges.
Divergence tests are every bit as challenging as convergence tests."
Moreover, did a country joining the Euro not need to satisfy the EU's economic convergence tests?
Thus, there are two formulas to compute , depending on the convergence of which can be determined by various convergence tests.
Incidentally, membership of the euro is not automatic and requires passing a number of convergence tests, plus the agreement of the Scottish people.
For some specific types of series there are more specialized convergence tests, for instance for Fourier series there is the Dini test.
More rigorously, Pickover's "biomorphs" encompass the class of organismic morphologies created by small changes to traditional convergence tests in the field of "Julia set" theory.
In mathematics, convergence tests are methods of testing for the convergence, conditional convergence, absolute convergence, interval of convergence or divergence of an infinite series.
As opposed to "convergence tests", where a test taker is asked to sort through a list of possibilities and converge on the right answer, a divergence test requires one to use imagination and take one's mind in as many different directions as possible.