“Upper Limit”的概念、定义、习题解题方法及翻译-数学辞典

单词

Upper Limit

释义

Upper Limit

Let the greatest term of a Sequence be a term which is greater than all but a finite number of the termswhich are equal to . Then is called the upper limit of the Sequence.

An upper limit of a Series

is said to exist if, for every

for infinitely many values of

and if no numberlarger than

has this property.

See also Limit, Lower Limit

References

Bromwich, T. J. I'a and MacRobert, T. M. ``Upper and Lower Limits of a Sequence.'' §5.1 in An Introduction to the Theory of Infinite Series, 3rd ed. New York: Chelsea, p. 40, 1991.

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