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converge


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(series)

The infinite series a1+a2+a3 +… is said to converge to a limit L if for every ɛ>0 there exists an N such that, for all Note that for a series to converge the sequence made up of its terms must converge to 0, though the converse is not true since {1, ½, ⅓, ¼,…} is a sequence which converges to 0 but 1+ ½+⅓+¼ +… is infinite.

Subjects: Physics — Mathematics.


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