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Forum Studenti •Limiti 2 (Eserciziario >= 2014)
Pagina 1 di 1

Limiti 2 (Eserciziario >= 2014)

Inviato: domenica 19 ottobre 2014, 16:01
da Stud B
Forse è il caso di approfondire quelli che ci vengono diversi? :?

EDIT: Intanto metto le soluzioni alla pagine LIMITI 2... di qualche risposta non sono convintissima, e l'ultima riga della pagina non sono proprio riuscita a risolverla in nessun modo :(
Un aiutino?

limiti2.pdf
(17.27KiB)Scaricato 297 volte

Re: Limiti 2 (Eserciziario >= 2014)

Inviato: martedì 21 ottobre 2014, 13:14
da Stud B
Ciao!! Ho visto gli esercizi (ho anche corretto qualcosa!!) però non mi torna tanto quello in cui usi rapporto->radice: ti viene 4/e -->0... io l'avevo capito diversamente(ma ancora una volta non garantisco), cioé: se il rapp. viene l allora anche la rad vale l, quindi rapporto=4/e allora radice=4/e. Sbaglio io?

Re: Limiti 1 (Eserciziario >= 2014)

Inviato: martedì 21 ottobre 2014, 22:24
da Skip
Se ancora servisse, la soluzione alla fatidica ultima riga dei Limiti 2 dovrebbe essere +oo per tutti e tre gli esercizi...

Re: Limiti 2 (Eserciziario >= 2014)

Inviato: mercoledì 22 ottobre 2014, 22:51
da Shaun

Re: Limiti 2 (Eserciziario >= 2014)

Inviato: giovedì 23 ottobre 2014, 0:13
da maria
Appunto, quindi per il criterio radice la successione tende a +inf, credo :D

Re: Limiti 1 (Eserciziario >= 2014)

Inviato: giovedì 23 ottobre 2014, 19:12
da Shaun

Re: Limiti 2 (Eserciziario >= 2014)

Inviato: giovedì 23 ottobre 2014, 21:42
da Massimo Gobbino
Nota TeX: se usate \dfrac invece di \frac le frazioni sono più grandi e leggibili, e visto che lo spazio è gratis :lol:

Re: Limiti 2 (Eserciziario >= 2014)

Inviato: giovedì 23 ottobre 2014, 22:37
da Stud B
oh. TeX... Non è che qualcuno potrebbe dirmi com'è che si fa?? Ignorante me.... :oops: :oops: (magari in privato, eh, non voglio impallare la discussione inutilmente)
Poi mi scuso con chi ha postato soluzioni anche per me: non ho avuto tempo di riguardarle e mi dispiace immensamente, appena le controllo vi dico se mi tornano le correzioni!!! Grazie :)

EDIT 27 ottobre: Le correzioni mi tornano di tutti gli esercizi tranne che degli ultimi due di quelli di cui hai scritto il testo... ci devo pensare ancora un po' :) magari chiedo al ricevimento...

Re: Limiti 2 (Eserciziario >= 2014)

Inviato: giovedì 30 ottobre 2014, 21:22
da GIMUSI
allego anche le mie soluzioni :?: con svolgimento

[EDIT] nella rev01 ho corretto un errore nell'ultimo limite (il risultato resta +inf)

[EDIT] nella rev02 ho corretto alcuni errori su 9A/B e 11A segnalasi da Shaun

Re: Limiti 2 (Eserciziario >= 2014)

Inviato: martedì 4 novembre 2014, 22:16
da Shaun
@GIMUSI:

Non mi trovo d'accordo con 2 delle tue risposte...
Sono la 9B e la 11A:

9B):

[tex]\sqrt[n]{\dfrac{n!(4n)!}{(2n)!(3n)!}} \rightarrow \dfrac{4^{4}}{2^{2}\cdot3^{3}}=\dfrac{64}{27}[/tex]

11A): Hai sbagliato a copiare il testo nella risoluzione, al denominatore c'è un [tex](2n)^{2n}[/tex], che batte il [tex](3n)^{n}[/tex], quindi tutta la frazione va a [tex]0[/tex].

Re: Limiti 2 (Eserciziario >= 2014)

Inviato: domenica 9 novembre 2014, 10:41
da GIMUSI

Re: Limiti 2 (Eserciziario >= 2014)

Inviato: domenica 9 novembre 2014, 15:39
da Massimo Gobbino
Quindi ora, se non sbaglio, c'è un accordo generale anche su limiti 2 :D .