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Forum: Puzzles

2022-05-21, 01:26

Replies: 27

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Views: 13,030

Posted By retina

How come?

How come?

Forum: Puzzles

2020-03-26, 19:50

Replies: 27

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

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

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

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

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

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...

Showing results 1 to 13 of 13

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