1+ 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 +1/10.........................
加到無限
我既意思係1/無限
又1+ 1/2 + 落去,,加到無限
1/1000 + 1/1001 + 1/1002 <-----咁樣
又1開始,,加到無限
咁個答案係幾多呢?
唔該!
數學難題..低中高手入
2007-05-16 3:46 am
回答 (4)
2007-05-17 1:24 am
✔ 最佳答案
答案應該是無限...不過想提供一些資料
1+ 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 +1/10.....這個是沒有什麼特別..
不過..,這個數減ln(n)...就出現一個constant...
gamma= lim (n->∞) ( 1 + 1/2 + 1/3 + 1/4 + ... + 1/n - ln(n) ) = 0.5772156649...
而這個數字是有名的gamma constant...
參考:
http://hk.knowledge.yahoo.com/question/?qid=7006120600925
http://www.math.com/tables/constants/gamma.htm
2007-05-16 4:15 am
其實.這個加法是有名稱的.
它叫做Harmonic series.
Wikipedia 裡提及"The harmonic series diverges, albeit rather slowly, to infinity"
即係話這個series並不converge.這個series的無限項相加會= ∞.
(詳情可瀏覽http://en.wikipedia.org/wiki/Harmonic_series_%28mathematics%29 by 馬吉.斯)
它叫做Harmonic series.
Wikipedia 裡提及"The harmonic series diverges, albeit rather slowly, to infinity"
即係話這個series並不converge.這個series的無限項相加會= ∞.
(詳情可瀏覽http://en.wikipedia.org/wiki/Harmonic_series_%28mathematics%29 by 馬吉.斯)
參考: by My Maths
2007-05-16 4:06 am
Firstly, i think u phrased ur question wrong...because if u add till infinity...the answer would be infinity...
2007-05-16 4:01 am
其實你的問題都幾難明, 但是...
依小人愚見,
答案應該係 2
依小人愚見,
答案應該係 2
收錄日期: 2021-04-13 00:44:31
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070515000051KK03490