First published at 11:40 UTC on October 25th, 2019.
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The calculus was never made rigorous - not even by a long stretch.
In the following applet, I demonstrate these facts that cannot be refuted:
https://drive.google.com/open?id=1Dx6GTFb-nsOdoJHVeoZWl2DWr-yzHqqR
Mainstream academics are intellectually dishonest and vile creatures. They hate correction and cannot learn new knowledge.
My free eBook:
https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO/view
The background music is a composition by Kelsey Joanne Rogers who is my niece:
https://www.youtube.com/watch?v=SxzdHj4pYwE
The ultimate truth that dishonest mainstream academics continue to reject is simply this:
[f(x+h)-f(x)]/h = f'(x) + Q(x,h) where Q(x,h)=0 <=> h=0.
is EXACTLY EQUIVALENT to:
f'(x) = Lim_{h->0} [f(x+h)-f(x)]/h
So it is obviously flawed in many respects, not just division by 0, but also circularity wrt limit theory verifinition.
No more IFS, BUTS or anything. I've been telling you this for many decades. It is the truth. The sooner you admit error and change your ways, the better for you.
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