New answers tagged infinitesimals
0
votes
In hyperreal field, can ln(ε) and ln(ω) be expressed as infinite sums?
I will propose an answer my question. Please let me know if I have spoken accurately.
Within the hyperreal field (that is, the most traditional hyperreal field as described by some of the original ...
8
votes
In hyperreal field, can ln(ε) and ln(ω) be expressed as infinite sums?
To help avoid any misunderstanding that may arise for readers of this question, let me say that when understood in the usual sense, there are no nontrivial convergent sequences or series at all in the ...
3
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In hyperreal field, can ln(ε) and ln(ω) be expressed as infinite sums?
For positive $\epsilon$, the expression $\ln \epsilon$ will be equal to its power series at $x=1$ (in the $\delta, N$ sense).
To help avoid any misunderstanding that may arise for readers of this ...
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