The Most Controversial Equation Ever #maths

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Infinity is not a number
It is just imagination

aazam
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Not as controversial as 1 + 2 + 3 + 4 + 5… = -1/12

CalculusIsFun
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"911, what's your emergency?"
"My math isn't mathing"

pieceofwaterofficial
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It is not possible since this not a convergent sum, it is divergent, meaning that it does not tend to a defined value, but to infinite, which is undefined. The solution he used is only appliable for convergent sums (0<q<1)

benjamincaneca
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The biggest battle between Maths and Logic 💀💀

LwinMinKhit
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It's not controversial. It's just incorrect.

Leonhard_Euler
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"If we rearrange the terms then original sum will change"
Bernhard Riemann
In Reimann paradox

clouds
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Bro sum to infinity in gp formula= a/1-r

daonastar
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S - 2S is not equals to -S😂
Infinite cannot be subtract with infinite🗿

ASH.-K
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When you take 2 common, you ignore the fact that there is one term less than the original S. Assume there are n terms
S=1+2(S-n) ==> S=2n-1
Now put n as infinity or anything

MoeLesteruc
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This equation actually makes some sense!

Not in the way it's presented here, but if you're interested check out the concept of p-adic numbers. In particular in the 2-adic number system this infinite series converges and the convergence value is precisely -1 !!!

tommasoantonelli
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This question was in beginner exercise of my ALLEN MODULE😂

tjfighter
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What you are doing is wrong this approach can be only used for converging series .

ankitjukaria
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the distributive law doesn't work on infinite sums because the numbers just don't end and you'll be distributing it forever
the answer is infinity itself

Stepanchicko
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That's wrong: S=1+2+4+8+..+.2n; S=1+2(1+2+4+8+...+n); here S is not equal to 1+2+4+8+...n.

reader_me
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Convergent Series in the back be like: 😶‍🌫️

lightraventravel
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A few defects here, Infinity can't be subtracted with infinity, and if you change the placement like 1 + 2 to 2 + 1 then this won't work, this is why never mess with infinity, its illogically logical and has many rules to be considered

EndlessFantasies
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TIP:you can use a similar method to solve problems with x on one side and a root on the other side with infinite progression

laxmiaruna
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Infinite GP sum = a/1-r
Where a is initial term and r is common ratio (2nd term divided by first term)
So a=1, r=2
Now a/1-r= 1/1-2
=1/-1
=-1

ananthgaming
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The moment you assume that infinity is "S" you can prove anything. That is incorrect.

Percycorbero