CALCULUS & ANALYSIS
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    limit

    The target value that terms in a sequence of numbers get closer and closer to. This limit is not necessarily ever reached but can be approached arbitrarily close if the sequence is taken far enough.

    More precisely, if the terms of an infinite series approach a definite value l in such a way that if we select some quantity, however small, we can always find a number N so that every term of the sequence after the Nth differs from l by less than the selected small quantity, then l is said to be the limit of the sequence.


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