My Geometric Limit Theorem of 2014 Simplified
John Gabriel
ε and δ are related and either can be expressed in terms of the other. (ε,δ) lies on a circle because ε^2+δ^2 = r^2 where r is the circle radius and r^2=c^2 + x^2 -2xc + f(x)^2 - 2f(x)L + L^2. The distances |x-c| and |f(x)-L| are normalised to fit inside the circle.
My theorem tells us that we can use the same approach with any given smooth function, meaning that there is never a need to waste time with ε and δ inequalities.
Link to applet:
https://drive.google.com/file/d/1R6uV655Yk4mWlP-QzHQvTAAbvXAKeTPB
2022-03-01
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