English Dictionary

infinite series

名詞

(mathematical analysis) Any expression that represents the addition a countably infinite number of ordered summands, often explicitly indexed by the positive or nonnegative integers.

日本語の意味

数学において、数え上げ可能な無限個の順序付けられた項の和を表す表現。 / 正または非負の整数によって明示的に添字が付けられた、無限に続く加算項からなる級数。

When analyzing convergence tests, the professor showed how an infinite series can behave counterintuitively despite its terms tending to zero.

収束判定法を分析すると、教授は項がゼロに近づいていても、無限級数が直感に反する振る舞いをすることを示しました。

意味（1）

(mathematical analysis) Any expression that represents the addition a countably infinite number of ordered summands, often explicitly indexed by the positive or nonnegative integers.

{{usex|en|In 1734, Leonhard Euler solved the Basel problem by summing the infinite series 1/(1²)+1/(2²)+1/(3²)+⋯=∑ₙ₌₁ ᪲1/(n²)=(𝜋²)/6.}}

infinite series （ plural ）