“convergent series”的概念、定义、习题解题方法及翻译-物理辞典

单词	convergent series
释义	convergent series A series a₁ + a₂ + … + a_i + …, for which a partial sum S_n = a₁ + a₂ + … + a_n tends to a finite (or zero) limit as n tends to infinity. This limit is the sum of the series. For example, the series 1 + 1/2 + 1/4 + 1/8 + … (with the general term a_i equal to (1/2)_i-1) tends to the limit 2. A series that is not convergent is said to be a divergent series . In such a series the partial sum tends to plus or minus infinity or may oscillate. For example, the series 1 + 1/2 + 1/3 + 1/4 + … (with a_i equal to 1/i) is divergent. As can be seen from this latter example, a series may be divergent even if the individual terms a_i tend to zero as i tends to infinity
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物理辞典收录了3346条物理词条，基本涵盖了常用物理知识及物理英语单词词组的翻译及用法，是物理学习的有利工具。