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list of common limits

Type of Math Object: 
Feature
Major Section: 
Reference
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26A06 no label found26A03 no label found26-00 no label found

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This is an excellent entry! Though it might not be complete (even if we take "common" to mean "quintessential"), already it shows that calculus can be about actual numbers people know and care about, like 1/2 and pi.

Thanks, Lisa! Interessant, that the people first did not know what kind of limits one could list there.
Up to now, only Warren and I have added those limits -- we wish that also other people could increase the list =o)
Jussi

that the people first did not know what kind of limits one could list there ... we wish that also other people could increase the list =o)

They might still not know, they might have questions. Mine is: does Euler's gamma function expressed as a limit belong in here?

I'd say the limit should be there, and the proof elsewhere. If the article becomes too long in the future I'm sure it can be broken into subsection and subentries. Until then, why not add away?

I think this is an issue of intended audience. Presumably, the
more elementary identities are meant for the benefit of calculus
students seeing limits for the first time. Encountering yet
unfamiliar material such as gamma functions mixed in with the
elementary material can be disconcerting because it can makes one
unsure whether one has the necessary background to understand
even the elementary material. Therefore, I would suggest that
you add the limits involving gamma functions towards the end of
the list, after the more elementary ones. It might also be good to
split up the limits under headings such as "algebraic", "power",
"exponential", "trigonometric", "higher transcendents" for
ease of reference and further clarifying required background.
I think that if you include the gamma limits this way, the likely
result will be that beginners will view the advanced results as
something new, exciting, and mysterious to look ahead to rather
than as a confusing nuisance.

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