1+2+3+4+5+... (NOT -1/12)

We do a nice number problem in this video.

#math,#numbers,#tricky

[kodirovsshik]

Oh wow, that's cool, never saw something like this on this topic
Nice vid

[skwbusaidi]

When you get
S= 1+9S it makes sense if S is infinity because infinity = 1+9× infinity
We can set a series to equal some uknown only if we know that the series converge but we can not do that if the series diverges

[p_square]

Riemann's Re-arrangement theorem justifies this to some extent
this series works quite similar to the Alternating Harmonic Series. Like if you write the Alternating harmonic series as 1 + 1/3 - 1/2 + 1/5 + 1/7 - 1/4 +..., we get the answer as 3/2*ln(2) which is not the same as ln(2).

[randomblueguy]

Now take the analytic continuation of the Riemann zeta function at s = -1 :)