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This post in reply to the Post, A Very False Graph


It still seems that the original post won't accept new replies, so I'm starting a new post.

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 In the original post I asked,

Since f=s+1/2(1-x) it is also true that1/2*x-1/2=s-f, so what can we say about the following graph?

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Proof that by regularization the convergent series f minus the divergent series s simplifies to 1/2-1/2x:

 

 

 

f(x)-s(x)=sum((-1)^n*(n^(x/n)-1)-(-1)^n*(n^(x/n)-x),x=1..infinity).

 

 

Then it follows by Grandi's series  



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