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Texas Instruments TI-Nspire CX CAS Manual

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limit() ou lim()
Catalogue >
limit(Expr1, Var, Point [,Direction])
⇒expression
limit(Liste1, Var, Point [, Direction])
⇒liste
limit(Matrice1, Var, Point [, Direction])
⇒matrice
Donne la limite recherchée.
Remarque : voir aussi Modèle Limite, page
7.
Direction : négative=limite à gauche,
positive=limite à droite, sinon=gauche et
droite. (Si Direction est absent, la valeur
par défaut est gauche et droite.)
Les limites en +ˆ et en -ˆ sont toujours
converties en limites unilatérales.
Dans certains cas, limit() retourne lui-
même ou undef (non défini) si aucune
limite ne peut être déterminée. Cela ne
signifie pas pour autant qu'aucune limite
n'existe. undef signifie que le résultat est
soit un nombre inconnu fini ou infini soit
l'ensemble complet de ces nombres.
limit() utilisant des méthodes comme la
règle de L’Hôpital, il existe des limites
uniques que cette fonction ne permet pas
de déterminer. Si Expr1 contient des
variables non définies autres que Var, il
peut s'avérer nécessaire de les contraindre
pour obtenir un résultat plus précis.
Les limites peuvent être affectées par les
erreurs d'arrondi. Dans la mesure du
possible, n'utilisez pas le réglage Approché
(Approximate) du mode Auto ou Approché
(Approximate) ni des nombres approchés
lors du calcul de limites. Sinon, les limites
normalement nulles ou infinies risquent de
ne pas l'être.
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