This can't be true, right?
>>16977819Turns out you can get some amazing results by changing the meaning of the word "sum" to mean something other than "what you get if you keep adding all the elements one by one until you're done".
>>16977838Yes, such as 0.9+0.09+0.009+...=1.
>>16977819> A = a+b+c+d+e...=x>4A = 4a+4b+4c...=4x> (A - 4A)***** = a+(b-4a)+c+(d-4b)+e...= a-b+c-d+e... = -(1/12)>***** - the equation doesn't reflect the actual subtraction method used
>>16977819It is. You can get any answer you want if you include actual infinities and (1 + 2 + 3...) is an actual infinity.
>>16977941Yeah, such as that, but not limited to it.
S=1-1+1-1+1-1...S=1-(1-1+1-1...)S=1-S2S=1S=1/2
>>16977819Some infinite sums converge to a real number. Other infinite sums just blow up to infinity. And other infinite sums keep looping forever. Those videos assume that all infinite series must converge to a real number even when it isn't the case that's why the youtubers reach those absurd results.
