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| A number to which a given sequence converges (See convergence). Formally, the sequence (a{TAG(tag=>sub)}n{TAG}) converges to the limit 1, written lim{TAG(tag=>sub)}n→∞{TAG} a{TAG(tag=>sub)}n{TAG} = l or a{TAG(tag=>sub)}n{TAG}→ l as n→∞, if for every Π>0 there can be found a number N for which |a{TAG(tag=>sub)}n{TAG} - l| < Πfor every n ≥ N.This is the basic notion behind every limiting operation in mathematics. Thus an infinite series converges (to its sum) if the sequence formed by the partial sums of its first n terms has a limit; and a function f(x) has the limit l as x tends to a if f(x{TAG(tag=>sub)}n{TAG})→ l for all sequences with x{TAG(tag=>sub)}n{TAG}→ a. |
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| Other Terms : adduct (addition compound) | E | sacrificial protection
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