Formulaire De Mathématiques: T. I-V. 2

Cover Formulaire De Mathématiques: T. I-V. 2
Formulaire De Mathématiques: T. I-V. 2
Peano, Giuseppe, 1858-1932
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(Voir RdM t.6 p.l37).
L'idée de la limite supérieure est fort ancienne ; car elle est la plus simple des différentes significations du mot « limite » , Voir \^ k A Lm lim.
r oD 1, 93 * 4. X / R * r 1, tijve Cls'R . asR ry -0 \u = rR-(w/*) Df •i a R •5 \fi'^\p .=. u/^'^v/^ •6 Vu = lB^{&u) -61 r(/w) = /l,w •7 l'w = \v .=. *w = B^(v/ê) .=. V^ = R^(*w) P'O. Nous définissons la limite inférieure des u comme la limite supérieure des R qui ne sont pas supérieurs à quelque u, ^ b. R -2 R3#wÔ.rw=oo •3
...U8 Cls'R .3 Yu ^ 00 •4 u,v£ Cls'R . ur)v . Vu =00 .3-1'^ =

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