In mathematics, 1 + 1 + 1 + 1 + ⋯, also written ∑ n = 1 ∞ n 0 {\displaystyle \textstyle \sum _{n=1}^{\infty }n^{0}} , ∑ n = 1 ∞ 1 n {\displaystyle \textstyle \sum _{n=1}^{\infty }1^{n}} , or simply ∑ n = 1 ∞ 1 {\displaystyle \textstyle \sum _{n=1}^{\infty }1} , is a divergent series. Nevertheless, it is sometimes imputed to have a value of − 1 2 {\displaystyle -{\tfrac {1}{2}}} , especially in physics.
In mathematics, 1 + 1 + 1 + 1 + ⋯, also written ∑ n = 1 ∞ n 0 {\displaystyle \textstyle \sum _{n=1}^{\infty }n^{0}} , ∑ n = 1 ∞ 1 n {\displaystyle \textstyle \sum _{n=1}^{\infty }1^{n}} , or simply ∑ n = 1 ∞ 1 {\displaystyle \textstyle \sum _{n=1}^{\infty }1} , is a divergent series. Nevertheless, it is sometimes imputed to have a value of − 1 2 {\displaystyle -{\tfrac {1}{2}}} , especially in physics.
Source: Wikipedia "1 + 1 + 1 + 1 + ⋯" · CC BY-SA 4.0
Share this article: X · Bluesky