# ASTOUNDING: 1 + 2 + 3 + 4 + 5 + … = -1/12

39
3 More links & stuff in full description below ↓↓↓

EXTRA ARTICLE BY TONY:
The sum of all natural numbers (from 1 to infinity) produces an “astounding” result.
ANOTHER PROOF & EXTRA FOOTAGE:
MORE:
NY Times article on this:

Tony Padilla and Ed Copeland are physicists at the University of Nottingham.

They talk physics at our sixty symbols channel:

Grandi’s Series: 1-1+1-1….

We also here that Chapter XIII of Konrad Knopp’s book, “Theory and Application of Infinite Sequences and Series”, is very good if you can get your hands on it.

Support us on Patreon:

NUMBERPHILE
Website:
Numberphile tweets:
Subscribe:

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI):

Brady’s latest videos across all channels:

Numberphile T-Shirts:
Other merchandise:

Nguồn:https://duancocobay.com/

Xem Thêm Bài Viết Khác:https://duancocobay.com/dau-tu

1. Uncorrected, this video has misled millions. Charisma does not sum up to truth. Where is the follow-up correction? How many more will watch, believe and befuddle all their various fields?

2. Wasted 8 minutes of my life

3. This the Ramanujan series

4. Its actually not true, it’s wrong because you are assuming the first sum equals to 1/2, which is false, it’s either 1 or 0, you only get this if you get that 1/2 just because now you want to change how math works, at least in this explanation the answer is wrong, maybe they have proven it in a real complex way for us mortals to understand it, but this ain’t it, for me that’s still infinite

5. 1 is a positive integer.
Each of the rest of the numbers in the sequence to be added is also a positive integer.
If you add a positive integer to a positive integer, you get another positive integer. (…or you need to use a larger word size.)
Therefore, if sum(1..n) is a positive integer, so is sum(1..n+1).

Therefore, sum(1…+inf), IF IT EXISTS, must be a positive integer.

How can you claim that an oscillating sequence, or a diverging one, has any kind of meaningful sum at all?

6. He changed the problem so therefore it’s not true

7. This video explains in 7:49 minutes why modern physics is a scam. (esp. String Theory)

8. I love how happy he is with this haha

9. It's all about Indian mathematician ramanujan u fkin mathematician

10. It’s time this Ramanujan mistake was finally put to bed.

11. Don't forget the founder of this ..

12. This is a faulty proof which shoes what happens when you treat infinity as a number.
In reality,
S – S2 = Infinity – 1/4 = Infinity

13. Hey you sucker this is Ramanujan infinity equation not your..

14. 1 – 1 + 1 – 1 + 1 – 1 ± … = 1/2

The proof that the sum of Grandi series above is equal to 1/2 is very simple.
What you have to do is simply to evaluate its ordinary generating function 1/(1+x) at x=1. That's all.

15. Anyone who can come up with an answer to the sum of the divergent series of repeating units below
?
1 + 11 + 111 + 1111 + 11111 + 111111 + … = ?

Hint: You need to start from a geometric series.

16. Oof. This is embarrassing. Physicists who can’t do maths.

Why haven’t you taken this down?

17. and this is why one does not simply count to infinity

18. I feel like I need to go rock in a corner muttering to myself.

19. So what's the sum of all positive even integers (2 + 4 + 6 + 8 + 10 + …)? Would it be -1/24 because we've removed half the numbers in the series of all positive integers? Or would it be -1/6 because we've doubled every number in that series?

20. If 1+2+3+4+5…=-1/12

Add 1/12 to both sides of equation

∞ = 0
Lol

21. Can any physicist confirm here that this result is useful in quantum theory despite it being mathematically incorrect?

22. Two minutes silence for those fools for whom this trolled invention is crazy video….🤣🤣🤣

23. I just don't get if bill gates doesn't stop earning money he'll become poor!?

24. 1+2+3+4+5….=infinity
That's truth

25. Before i watched this video: i think thats wrong.

After i watched this video: bunch of imbeciles.

26. And this, children, is how Common Core began…

27. I thought this was an april fools joke
then I checked the date and went into denial
Got I wonder how this works

28. By Ramanujan

29. "The answer can be either 1 or 0, so we take the average 1/2." WHAT?????? WHY???? HOW????

30. if (infinity) = (intifinity) + (all of numbers), than it's true.

31. The sum of the infinite series of 1-1+1-1+1-1… Isn't 1/2, in fact it's not anything. Unless the infinite series diverges towards something (positive or negative infinity, or some finite number) it has no result. The sum of all natural numbers is infinitity, or Aleph Null.

32. Ramanujan proved sum of natural number is equals to -1/12

33. I never will not believe that it is true.
It's like saying that numbers are not in a straight line but they are in a parabola

34. If 1 + 2 + 3 + 4 + … = -1/12 then I bet we live in a simulation, and the computers reckoning that sum crash everytime they are fed this series.