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Infinite tetration and superroot of infinitesimal
Ivars Wrote:r= phi^(1/phi) , r= phi^(1/phi)^phi, r= phi^(1/phi)^phi^(1/phi) etc
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Now we think that infinity^(1/infinity) which was the beginning of this thread is not very well defined.
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So why not define the limits using the finite tangent angles? Or their trigonometric functions, e.g tangens? The one of the outgoing/incoming spiral for infinitesimal^(1/infinitesimal), the one of the limit circle at crossing for infinity^1/infinity.

There are options to define those limits , why no one is used?

I dont understand why you invoke a polar graph here, the limits are very well defined and well-known:


You can already guess it when you look at the (cartesian) graph of the selfroot.




Here we know that for and hence for and hence . Finally again:
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Messages In This Thread
RE: Infinite tetration and superroot of infinitesimal - by bo198214 - 02/26/2008, 09:26 AM

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