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- Politecnico di Milano
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- Analisi e geometria 1
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- Notes · Complete set
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Study material for Analisi e geometria 1, shared by the Studwiz community and reviewed by moderators.
Analisi e geometria 1Complete set
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Contents 1 T eoremi primo parziale 3 1.1 Teoremi senza dimostrazione . . . . . . . . . . . . . . . . . . . . 3 1.2 Irrazionalit` a di radice due . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Prima formula di De Moivre . . . . . . . . . . . . . . . . . . . . . 6 1.4 Seconda formula di De Moivre . . . . . . . . . . . . . . . . . . . 6 1.5 Teorema dell’esistenza dei punti di accumulazione . . . . . . . . . 7 1.6 Unicit` a del limite . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.7 Convergenza delle successioni monotone limitate . . . . . . . . . 9 1.8 Permanenza del segno . . . . . . . . . . . . . . . . . . . . . . . . 10 1.9 Teorema del confronto . . . . . . . . . . . . . . . . . . . . . . . . 11 1.10 Continuit` a della funzione composta . . . . . . . . . . . . . . . . . 11 1.11 Teorema di Weierstrass . . . . . . . . . . . . . . . . . . . . . . . 12 1.12 Teorema degli zeri . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.13 Teorema dei valori intermedi . . . . . . . . . . . . . . . . . . . . 14 1.14 Continuit` a della funzione derivabile . . . . . . . . . . . . . . . . . 15 1.15 Somma di derivate . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.16 Prodotto di derivate . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.17 Derivata della funzione inversa . . . . . . . . . . . . . . . . . . . 16 1.18 Lemma di Fermat . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 1.19 Teorema di Lagrange . . . . . . . . . . . . . . . . . . . . . . . . . 17 1.20 Test di monotonia . . . . . . . . . . . . . . . . . . . . . . . . . . 18 1.21 Teorema di Taylor con resto di Peano . . . . . . . . . . . . . . . 19 2 T eoremi secondo parziale 21 2.1 De L’Hospital . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 2.2 Teorema di Taylor con resto…
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