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Forum Studenti
Sito dedicato agli studenti dei corsi tenuti da Massimo Gobbino and friends (qualunque corso può essere aggiunto)
...Se ho la successione (-1)^k! il suo limite tenderà a uno definitivamente, vero? è un caso tipico di successione che non ha limite :roll: la cosa è in effetti banale...formalmente lo si "dimostra" grazie al fatto che puoi trovare due sotto-successioni che hanno limite diverso: quella pe...
allego un possibile svolgimento per il Test 17 - Induzione 2 ho qualche dubbio su vari punti tra cui il caso della diseguaglianza di bernoulli con x \leq-1 e per il 2.a per il 3.b non mi è venuto in mente nessun metodo dimostrativo (credo ci sia un piccolo refuso sul valore di n \gt 1 ) per il 4 cre...
ecco ora dovrebbe essere tutto a posto...spero :roll: non mi è ancora chiaro tuttavia perché il procedimento precedente per il secondo esercizio del primo compitino non fosse corretto; se si mostra che sia per le x positive sia per quelle negative posso scrivere la funzione come somma di quadrati: p...
... No, non sai se x \geq 0 , anzi il problema è proprio dove è negativo quindi la radice di x non la puoi scrivere! quindi non è corretto neppure distinguendo i due casi x \geq 0 e x \leq 0 ? :roll: dovevo precisare qualcosa che ho dato per scontato? tipo continuità, weierstrass generalizzato :cry:
grazie per i commenti e correzioni...ho revisionato lo svolgimento dei tre compitini Per quanto riguarda la soluzione del primo compitino: - nel secondo esercizio: la stima sulla funzione f e il fatto che si annulli solo nell'origine vanno dimostrati; - nel terzo esercizio il fatto che l'insieme è l...
mi tornano tutte le risposte come a mentina tranne la n.28 (C invece di B) :roll: [EDIT] la rev01 recepisce la correzione segnalata qui sotto da mentina al n.28 (B invece di C) [EDIT] la rev02 corregge la precorsata del n.24 (mancata imposizione della condizione sulla non negatività del RHS "x-...
... Eheh, qui la burocrazia davvero colpisce :shock: :shock: . Se A è vuoto e B non lo è, allora esiste una funzione da A in B iniettiva (quale?), ma non esiste nessuna funzione da B in A surgettiva (perché?). 8) forse perché la definizione rigorosa: \forall a \in A \enspace \exists ! b \in B : ...