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发帖数: 32828 | 1 【 以下文字转载自 Mathematics 讨论区 】
发信人: devdev (I want a cheap house), 信区: Mathematics
标 题: 1+1+1+1......=?
发信站: BBS 未名空间站 (Sat Jan 18 15:57:51 2014, 美东)
http://youtu.be/PCu_BNNI5x4
S1 = 1-1+1-1+1......=1/2
1-S1 = 1-(1-1+1-1+1......)
1-S1 = 1-1+1-1+1......
1-S1 = S1
1 = 2xS1
1/2 = S1
S2 = 1+1+1+1+1......
S1+S2 = 1-1+1-1+1.....
+1+1+1+1+1......
S1+S2 = 2+2+2+2........
S1+S2 = 2x(1+1+1+1+1......)
S1+S2 = 2xS2
S1 = S2
S2-S1 = (1+1+1+1+1......)
- (1-1+1-1+1-1.....)
S2-S1 = 2+2+2+2......
S2-S1 = 2x(1+1+1+1... 阅读全帖 |
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d****v
发帖数: 458 | 2 http://youtu.be/PCu_BNNI5x4
S1 = 1-1+1-1+1......=1/2
1-S1 = 1-(1-1+1-1+1......)
1-S1 = 1-1+1-1+1......
1-S1 = S1
1 = 2xS1
1/2 = S1
S2 = 1+1+1+1+1......
S1+S2 = 1-1+1-1+1.....
+1+1+1+1+1......
S1+S2 = 2+2+2+2........
S1+S2 = 2x(1+1+1+1+1......)
S1+S2 = 2xS2
S1 = S2
S2-S1 = (1+1+1+1+1......)
- (1-1+1-1+1-1.....)
S2-S1 = 2+2+2+2......
S2-S1 = 2x(1+1+1+1+1......)
S2-S1 = 2xS2
-S1 = S2
Contradiction to above
Can someone point out what's the problem?
Does
2x(1+1+1......) not equal to 2+2+2+2...... ?? |
|
d****v
发帖数: 458 | 3 http://youtu.be/PCu_BNNI5x4
S1 = 1-1+1-1+1......=1/2
1-S1 = 1-(1-1+1-1+1......)
1-S1 = 1-1+1-1+1......
1-S1 = S1
1 = 2xS1
1/2 = S1
S2 = 1+1+1+1+1......
S1+S2 = 1-1+1-1+1.....
+1+1+1+1+1......
S1+S2 = 2+2+2+2........
S1+S2 = 2x(1+1+1+1+1......)
S1+S2 = 2xS2
S1 = S2
S2-S1 = (1+1+1+1+1......)
- (1-1+1-1+1-1.....)
S2-S1 = 2+2+2+2......
S2-S1 = 2x(1+1+1+1+1......)
S2-S1 = 2xS2
-S1 = S2
Contradiction to above
Can someone point out what's the problem?
Does
2x(1+1+1......) not equal to 2+2+2+2...... ?? |
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