(New page: One theorem that could be a good candidate for my favorite one is is mm.. there are many funny names to it: the theorem about two policemen(miliotsioner), the sandwich theorem, squeeze the...) |
m (User:Guteulin moved to Galymzhan Uteulin Favorite Theorem) |
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Revision as of 11:56, 25 January 2009
One theorem that could be a good candidate for my favorite one is is mm.. there are many funny names to it: the theorem about two policemen(miliotsioner), the sandwich theorem, squeeze theorem.. So the definition. We have 3 functions f, g, h on some certain interval, and they hold following inequality on this interval: g(x) <= f(x) <= h(x). So if there is some point 'a' in that interval that lim(g(x))=L x->a and lim(h(x))=L x->a THEN lim(f(x))=L x->a too.