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infinite series

   Also found in: Wikipedia, Hutchinson 0.03 sec.

infinite series

In mathematics, the sum of infinitely many numbers, whose relationship can typically be expressed as a formula or a function. An infinite series that results in a finite sum is said to converge (see convergence). One that does not, diverges. Mathematical analysis is largely taken up with studying the conditions under which a given function will result in a convergent infinite series. Such series (e.g., the Fourier series) are particularly useful in solving differential equations.



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I'll be married in this lilac gingham: you may make a dressing-gown for yourself out of the pearl-grey silk, and an infinite series of waistcoats out of the black satin.
 
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