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Results tagged with surreal-numbers
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user 545576
For questions about the surreal numbers, which are a real-closed ordered proper-class-sized field that contains both the real numbers and the ordinal numbers. Thus they contain both infinite numbers (including the ordinals, but also infinite numbers like ω-1 and sqrt(ω)) and infinitesimal numbers (like 1/ω). They can also be identified with a subclass of two-player partisan games.
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In hyperreal field, can ln(ε) and ln(ω) be expressed as infinite sums?
In the hyperreal field, we can use Taylor series to express e^(ε) and e^(ω) as:
e^(ε) = 1 + ε + (ε^2)/2! + ...
e^(ω) = 1 + ω + (ω^2)/2! + ...
Is it similarly possible to express ln(ε) and ln(ω) as inf …
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