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Csvyo

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Post Posted: 14-01-2015, 20:19:07 | Translate post to: ... (Click for more languages)

Cat mai repede rezolvate exercitiile si cu explicatii,va rog.
http://postimg.org/image/rx07oxfjn/


So many words untold...

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Raster

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Post Posted: 15-01-2015, 12:32:16 | Translate post to: ... (Click for more languages)

La primele 3 inlocuiesti si vezi ca obtii 0 jos asa ca aplici regula lui L'Hopital. Ar trebui sa iti iasa dupa ce derivezi (cred ca trebuie de mai multe ori).

La 4 nu am idee si la 5 cred ca trebuie sa te folosesti de limita aia remarcabila pe care nu mi-o mai amitesc, ceva de genul lim (1 + f(x))^1/f(x) = lim something.



воронья
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BucovinA

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Post Posted: 19-01-2015, 21:41:18 | Translate post to: ... (Click for more languages)

5 cred ca este cel mai simplu.
Prima data desparti fractiile alea de la putere si o sa ai (3 la 1/x + 3 la 2/x + 3 la 3/x ) totul la X, si desigur un numitor 3 sub paranteza aia.


Apoi incepi si te uiti ca x tinde la infinit. Apoi dupa ce inlocuiesti la x cu infinit sa vezi cat face o sa ajungi undeva la 1/3 totul la X, care face automat 0.


@Raster: Limita remarcabila despre care vorbesti tu, este cazul 1 la infinit si se trateaza in functie de exponenti.

Cand ajung acasa revin cu edit si pentru celelalte.

Edit: Am revenit si cu exercitiul 4. Uite http://postimg.org/image/bnfu062tz/ . (sper sa nu fi facut vreo greseala de calcul, de obicei se mai intampla - )

Celelalte se fac cum a spus si Raster.



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