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Forum: Puzzles 2022-05-21, 01:26
Replies: 27
Views: 13,030
Posted By retina
I showed my working to arrive at the real answer...

I showed my working to arrive at the real answer of 0. :razz:
Forum: Puzzles 2022-05-20, 14:42
Replies: 27
Views: 13,030
Posted By retina
2^∞ = 0

The infinite product of 2×2×2×2×2×2×2... = 0

If we set p = 2×2×2×2×2×2×2... we can see that 2×2×2×2×2×2×2... = 2×p

Leading to p = 2×p

Subtract p from both side; 0 = p

Giving...
Forum: Puzzles 2022-05-20, 02:40
Replies: 27
Views: 13,030
Posted By retina
Good job. Although that says that |A| = |B|....

Good job.

Although that says that |A| = |B|. Which is what VBCurtis suggested up thread (https://mersenneforum.org/showpost.php?p=541493&postcount=10).
Forum: Puzzles 2022-05-18, 13:36
Replies: 27
Views: 13,030
Posted By retina
The truth about 1+2+3+...=-1_12

Nice vid.

https://www.youtube.com/watch?v=YuIIjLr6vUA

Supersums, Zeta and Eta functions, are also included for some extra spice.
Forum: Puzzles 2020-04-02, 18:13
Replies: 27
Views: 13,030
Posted By retina
Alright, so there is conflicting information. ...

Alright, so there is conflicting information.

The video I linked in the first post makes use of shifting the series to the right, and ignoring terms that are zero. Are they "doing it wrong"?
Forum: Puzzles 2020-04-02, 03:50
Replies: 27
Views: 13,030
Posted By retina
Or a super-intelligent shade of the colour blue...

Or a super-intelligent shade of the colour blue (https://www.goodreads.com/quotes/7071316-a-hooloovoo-is-a-super-intelligent-shade-of-the-color-blue).
Forum: Puzzles 2020-04-02, 00:54
Replies: 27
Views: 13,030
Posted By retina
Okay, sure, technically "..." could be anything,...

Okay, sure, technically "..." could be anything, even demons flying out of one's nose. But that doesn't really follow the intention of the question.So you gave two answers in that post?
Forum: Puzzles 2020-04-01, 16:07
Replies: 27
Views: 13,030
Posted By retina
Good job. Now, anyone to suggest that they...

Good job.

Now, anyone to suggest that they are uncomparable and all the above answers are meaningless?

Why are infinities so confusing?
Forum: Puzzles 2020-04-01, 15:48
Replies: 27
Views: 13,030
Posted By retina
Good job. Now we have two answers. A >...

Good job.

Now we have two answers.

A > B, and
B > A

Anyone want to speculate now that A = B?
Forum: Puzzles 2020-03-27, 13:31
Replies: 27
Views: 13,030
Posted By retina
How come?

How come?
Forum: Puzzles 2020-03-26, 19:50
Replies: 27
Views: 13,030
Posted By retina
And B - A - 1 = B

And B - A - 1 = B
Forum: Puzzles 2020-03-26, 19:27
Replies: 27
Views: 13,030
Posted By retina
Very good. If we assign: A = 1 + 1 + 1...

Very good.

If we assign:

A = 1 + 1 + 1 + 1 + 1 + 1 + ...
B = 1 + 2 + 3 + 4 + 5 + 6 + ...

Then B - A = B, since pairwise subtraction gives 0 + 1 + 2 + 3 + ... = 1 + 2 + 3 + ...

Therefore...
Forum: Puzzles 2020-03-26, 17:57
Replies: 27
Views: 13,030
Posted By retina
Is (1 + 1 + 1 + 1 + 1 + 1 + ...) less than (1 + 2 + 3 + 4 + 5 + 6 + ...) ?

Is (1 + 1 + 1 + 1 + 1 + 1 + ...) less than (1 + 2 + 3 + 4 + 5 + 6 + ...) ?

It would seem not.

Because 1 + 2 + 3 + 4 + 5 + 6 + ... = -1/12
https://www.youtube.com/watch?v=w-I6XTVZXww

I'm not...
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