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Limiti
Paperback
Technology & EngineeringGeneral Mathematics
Publisher: Independently Published
Published: Jun 19 2025
Pages: 314
Weight: 0.93
Height: 0.66 Width: 6.00 Depth: 9.00
Language: Italian
Spesso la Teoria dei Limiti risulta particolarmente ostica, sia per quel pizzico di fantasia che è necessaria per comprendere l'argomento e sia per la ricorrente presenza di molti simboli matematici utilizzati per definire i diversi casi. Col primo capitolo di questo volume si viene introdotti alle nozioni di base relative agli insiemi e agli intervalli, quindi ai concetti di intorno, estremi superiori e inferiori, punti isolati e punti di accumulazione. Chiariti questi concetti si entra nel vivo dei Limiti definendo i 4 casi e distinguendo tutti i sottocasi, guidando lo studente sulla procedura per verificare un limite e per calcolarlo, ponendo attenzione ai diversi metodi che occorre usare a seconda della forma indeterminata che si incontra, inclusi ovviamente i Limiti Notevoli. Non mancano i teoremi fondamentali come quello dell'unicità del limite, della permanenza del segno e dei Carabinieri. Si passa poi ai concetti di infinito e infinitesimo, con i relativi principi e teoremi da applicare. Infine viene definita la Funzione Continua, approfondite le proprietà , il Teorema di Weierstrass, dei valori intermedi e degli zeri, vengono introdotte poi le tre tipologie di punti di discontinuità . Dopo aver illustrato l'uniforme continuità e il Teorema di Cantor, nell'ultimo capitolo vengono introdotti gli Asintoti, spiegando come calcolare quello Orizzontale, quello Verticale e quello Obliquo.
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