Meaning of infinite series | Babel Free

Definitions

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

Equivalents

Examples

“In 1734, Leonhard Euler solved the Basel problem by summing the infinite series #92;textstyle#92;frac#123;1#125;#123;1²#125;#43;#92;frac#123;1#125;#123;2²#125;#43;#92;frac#123;1#125;#123;3²#125;#43;#92;cdots#61;#92;sum#95;#123;n#61;1#125;#123;#92;infty#125;#92;frac#123;1#125;#123;n²#125;#61;#92;frac#123;#92;pi²#125;#123;6#125;.”

CEFR level