« Recherche:Cardinal quantitatif » : différence entre les versions

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Ligne 1 859 :
ou dit autrement :
 
<math>\displaystyle{\lim_{p \in \N,p \rightarrow +\infty} p = \lim_{p \in \N,p \rightarrow +\infty} {card}_{Q,{\cal R}} \Big((\N \bigcap [0,p])\setminus \{0\}\Big) = {card}_{Q,{\cal R}} \bigg(\lim_{p \in \N,p \rightarrow +\infty}\Big((\N \bigcap [0,p])\setminus \{0\}\Big)\bigg) = {card}_{Q,{\cal R}} \bigg({\Big[(\lim_{p \in \N,{p \rightarrow +\infty}(\N \bigcap [0,p])}_{p\Big) \insetminus \N}{0\Big]}^*\bigg) = {card}_{Q,{\cal R}}(N_1^*)}</math>.
 
<math>\displaystyle{= {card}_{Q,{\cal R}}\bigg({\Big[\N,{(\N \bigcap [0,p])}_{p \in \N}\Big]}^*\bigg) = {card}_{Q,{\cal R}}(N_1^*)}</math>.