證明
(1/2)x(3/4)x(5/6)x......x(2023/2024)<1/45
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2010-03-06 2:15 am
回答 (4)
2010-03-06 4:53 am
✔ 最佳答案
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
2010-03-06 11:01 pm
(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" )
< (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" )
2010-03-06 6:49 am
tonyleung052好野!!!
收錄日期: 2021-04-21 22:11:50
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100305000051KK00926