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d,g de la 204. Coroana si 50 de pct..imi trebuie maxim pana maine

Dg De La 204 Coroana Si 50 De Pctimi Trebuie Maxim Pana Maine class=

Răspuns :

lim x²(e^1/x-e^1/(x-1))=lim x²/[1/(e^1/x-e^1/(x-1))]=∞/∞  aplici  T L Hospital
L=lim2x/[-((e^(1/x)-e^(1/(x-1))/(e^1/x-e^1/(x-1))²]=-lim 2x/1/(e^1/x-e^1/(x-1)=
-∞/∞ aplici   in  continuare   teorema
L=-lim 2/[-(e^1/x-e^1/(x-1))/(e^1/x-e^1/(x-1))²]=lim2/[1/(e^1/x-e^1/(x-1)]=2/[1/0]=
2/∞=0