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单词 root test
释义

root test

(Cauchy's test) For a series a1 + a2 + a3 +… of positive terms:

if limsup an1/n < 1, then the series converges.
if limsup an1/n > 1, then the series diverges.
if limsup an1/n = 1, then the series may or may not converge.

See also radius of convergence.

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更新时间:2025/4/30 6:32:17