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# Luara's Discussions (2,511)

Discussions Replied To (19) Replies Latest Activity

### "Sure.  I could have just said "a continuous function on an open subset of the real l…"

Luara replied Apr 19, 2014 to Puzzle in real analysis

4 Apr 19, 2014

### "An open subset of the real line is a union of disjoint open intervals.  Could be fin…"

Luara replied Apr 19, 2014 to Puzzle in real analysis

4 Apr 19, 2014

### "infinitely many 1's cannot possibly sum to something less than 1 (let alone somethin…"

Luara replied Mar 4, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "I don't agree that the plain old limit exists when x=1. It's a matter of how you def…"

Luara replied Mar 1, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "Fancy footwork can be impressive--but not when it gives an obviously false result. W…"

Luara replied Feb 27, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "ps  The zeta function does have a pole at s=1, which is a bit ironic since 1 + 1/2 +…"

Luara replied Feb 27, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "I don't think that that's going to get me to accept that the sum really is 1/2. I li…"

Luara replied Feb 27, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "I don't know about 1 + 1 + 1 + ...  but 1+ 2 + 3 + 4 + ... = -1/12 does get used in…"

Luara replied Feb 26, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "By this same logic, zeta(0) = 1 + 1 + 1 + ... = -1/2  :)"

Luara replied Feb 17, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

### "No, it's all pluses. 1 - 2 + 3 - 4 + 5 - 6 + 7 - ... can be summed by Abel summation…"

Luara replied Feb 16, 2014 to 1+2+3+4+5+... = -1/12

16 Mar 4, 2014

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