請大家看看,怎麽說明數列在1/e^e ≤ x ≤ e^(1/e)外麵沒有限極限?

來源: 2021-09-22 07:43:37 [] [博客] [舊帖] [給我悄悄話] 本文已被閱讀: 次 (4806 bytes)
本文內容已被 [ yma16 ] 在 2021-09-22 09:38:05 編輯過。如有問題,請報告版主或論壇管理刪除.

This infinite exponential tower is known in literate as “tetration” or sometimes “iterated exponentials”, “power tower,” “hyperpower,” or “superexponentiaion.” The details of convergence are fairly complicated, so I encourage you read the award-winning paper Exponentials Reiterated by Arthur Knoebel. Here is a graph that illustrates the domain and range of the infinite power tower.

The infinite tower only converges for 1/e^e  x  e^(1/e), with a corresponding range 1/e  y  e. For positive x values below the minimum value the limit is not defined, and for positive x values above the maximum value the limit goes to infinity.

所有跟帖: 

帖子中的鏈接有有關資料。 -yma16- 給 yma16 發送悄悄話 yma16 的博客首頁 yma16 的個人群組 (0 bytes) () 09/22/2021 postreply 07:47:24

加跟帖:

  • 筆名:      密碼: 保持登錄狀態一個月,直到我退出登錄。
  • 標題:
  • 內容(可選項): [所見即所得|預覽模式] [HTML源代碼] [如何上傳圖片] [怎樣發視頻] [如何貼音樂]
回到頂部