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.dsy:it. : Powered by vBulletin version 2.3.1 .dsy:it. > Didattica > Corsi G - M > Matematica del continuo > [com dig] Limiti: esercizi ! ! !
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valeria
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 soluzione es + domanda

lim x->2 di (x^2 - 3x +2)/(2x^2 -x -6)
a me viene così..se è sbagliato ditemelo ve ne prego..con i limiti sto impazzendo!!!
(x^2 -2x -x +2)/(2x^2+2x-3x -6)=[2(x+1)+x(x-1)]/[2x(x+1)-3(x+1)]=(x+2)(x+1)/(2x-3)(x+1)=(x+2)/(2x+3)=4/7
sol. 4/7?


i limiti con i moduli come si fanno? grazie

Last edited by valeria on 02-05-2003 at 16:53
02-05-2003 16:39
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Lunik
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Off-Topic:
cercate di non fare confusione in questo topic! Sarebbe meglio che mettiate il titoletto per ogni vostro post... in cui dite se proponete un nuovo esercizio oppure la soluzione di un esercizio...

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02-05-2003 16:51
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^Angelus^
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a me viene 1/7

code:
 
x^2 - 3x + 2        (x - 2)(x - 1)                x - 1              2-1           1   
------------------ = --------------------- = ------------ = --------------- = --
2x^2 - x - 6         2(x - 2)(x + 3/2)     2(x+3/2)      2*2+2*3/2     7

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Nessuna via come via. Nessun limite come limite

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02-05-2003 16:55
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^Angelus^
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 off topic

ops scusa lunik

miii che casino che è venuto, e io che pensava formattato bene. vabbè spero che si capisca. cmq qualcuno che confermi o meno l'esercizio prima che ho sbagliato io

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Empty your mind, be formless, shapeless, like water. If you put water into a cup it became a cup, if you put water into a bottle it became a bottle, if you put into a teapot it became a teapot. Water can flow or can crush. Be water my friend.

Nessuna via come via. Nessun limite come limite

- Bruce Lee -
02-05-2003 16:57
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Lunik
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 Re: off topic

Originally posted by ^Angelus^
ops scusa lunik

miii che casino che è venuto, e io che pensava formattato bene. vabbè spero che si capisca. cmq qualcuno che confermi o meno l'esercizio prima che ho sbagliato io

si capisce si capisce! Lo so anche Webnoise ha avuto qualche problema con lo scrivere il limite...:)
Cmq è il procedimento che ho fatto pure io! :asd:

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02-05-2003 16:59
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^Angelus^
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perchè nn ci si trova tutti quelli che stanno facendo matematica sulla chat del dsy che almeno si riesce a interagire meglio??

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Empty your mind, be formless, shapeless, like water. If you put water into a cup it became a cup, if you put water into a bottle it became a bottle, if you put into a teapot it became a teapot. Water can flow or can crush. Be water my friend.

Nessuna via come via. Nessun limite come limite

- Bruce Lee -
02-05-2003 17:03
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Lunik
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qualcuno lo sta già facendo da qualche giorno... ;)

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02-05-2003 17:12
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^Angelus^
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 domanda

riuscite a darmi una mano su questo limite?
lim (x-> inf) (e^(1-x)) / ((e^2x) + 4)

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Empty your mind, be formless, shapeless, like water. If you put water into a cup it became a cup, if you put water into a bottle it became a bottle, if you put into a teapot it became a teapot. Water can flow or can crush. Be water my friend.

Nessuna via come via. Nessun limite come limite

- Bruce Lee -
02-05-2003 17:48
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valeria
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 lim x->2 di (x^2 - 3x +2)/(2x^2 -x -6)

lim x->2 di (x^2 - 3x +2)/(2x^2 -x -6)

Come fai a scomporre così il denominatore?

2x^2 - x - 6 = 2(x - 2)(x + 3/2)

_________________________________________
raccogli il 2
2(x^2 -x/2 -3)
poi...??
___________________________________________
io riesco a scomporlo solo così!

(x^2 -2x -x +2)/(2x^2+2x-3x -6)=[2(x+1)+x(x-1)]/[2x(x+1)-3(x+1)]=(x+2)(x+1)/(2x-3)(x+1)=(x+2)/(2x+3)=
02-05-2003 17:49
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^Angelus^
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io l'ho trovato con questo metodo
________
-b +- \/b^2 - 4ac x1
--------------------- <
2a x2

poi a(x - x1)(x - x2)

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Empty your mind, be formless, shapeless, like water. If you put water into a cup it became a cup, if you put water into a bottle it became a bottle, if you put into a teapot it became a teapot. Water can flow or can crush. Be water my friend.

Nessuna via come via. Nessun limite come limite

- Bruce Lee -
02-05-2003 17:53
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^Angelus^
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ops nn si capisce niente, cmq è la formula solita per scomporre un polinomio di 2° grado

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Empty your mind, be formless, shapeless, like water. If you put water into a cup it became a cup, if you put water into a bottle it became a bottle, if you put into a teapot it became a teapot. Water can flow or can crush. Be water my friend.

Nessuna via come via. Nessun limite come limite

- Bruce Lee -
02-05-2003 17:55
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valeria
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lim (x-> inf) (e^(1-x)) / ((e^2x) + 4)


lim (x-> inf) (e/e^x )*[1/ e^(2x) +4 ]

lim (x-> inf) e/ [ e^x * ( e^(2x) +4 ) ] = e/infinito =0


Last edited by valeria on 02-05-2003 at 20:11
02-05-2003 18:01
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Lunik
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valeria non ricordi la magica formuletta per trovare le soluzioni di un'equazione?
risistema il tuo post sopra il mio!

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02-05-2003 18:06
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Lunik
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Originally posted by ^Angelus^
ops nn si capisce niente, cmq è la formula solita per scomporre un polinomio di 2° grado


già solo che NON bisogna dimenticarsi del 2 del 2x^2!!!!!

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02-05-2003 18:06
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^Angelus^
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Originally posted by ^Angelus^

poi a(x - x1)(x - x2)

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Empty your mind, be formless, shapeless, like water. If you put water into a cup it became a cup, if you put water into a bottle it became a bottle, if you put into a teapot it became a teapot. Water can flow or can crush. Be water my friend.

Nessuna via come via. Nessun limite come limite

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02-05-2003 18:17
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