標題:
數學呀.........癲架........
發問:
證明 (1/2)x(3/4)x(5/6)x......x(2023/2024)<1/45
最佳解答:
因 : (1/2) x (3/4) x (5/6) x......x (2023/2024) < (2/3) x (4/5) x (6/7) x...x (2024/2025) (1/2) x (3/4) x (5/6) x......x (2023/2024) < (2/1) x (4/3) x (6/5) x (8/6) x ...... x (2024/2023) / 2025 令 (1/2) x (3/4) x (5/6) x......x (2023/2024) = N , N < (1/N) / 2025 N^2 < 1 / 2025 N < 1/45
其他解答:
數學呀.........癲架........
發問:
證明 (1/2)x(3/4)x(5/6)x......x(2023/2024)<1/45
最佳解答:
因 : (1/2) x (3/4) x (5/6) x......x (2023/2024) < (2/3) x (4/5) x (6/7) x...x (2024/2025) (1/2) x (3/4) x (5/6) x......x (2023/2024) < (2/1) x (4/3) x (6/5) x (8/6) x ...... x (2024/2023) / 2025 令 (1/2) x (3/4) x (5/6) x......x (2023/2024) = N , N < (1/N) / 2025 N^2 < 1 / 2025 N < 1/45
其他解答:
此文章來自奇摩知識+如有不便請留言告知
(1/2) x (3/4) x (5/6) x......x (2023/2024) < (2/1) x (4/3) x (6/5) x (8/6) x ...... x (2024/2023) / 2025 ( 我想問呢步點解要 "癲到" 同 " / 2025" )|||||tonyleung052好野!!!|||||咩黎,完全無見過呢條式,勁文章標籤
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