Subiectul III-faza finala-Concursul de Evaluare in Educatie
Posted: Tue Jun 10, 2008 8:46 pm
Se considera \( n\in N^* \). Sa se arate ca exista \( a_0, a_1, a_2,\ldots,a_n\in Z \), nu toate nule, cu \( |a_i|\leq 9 \), oricare ar fi \( i\in\{1,2,3,...,n\} \), astfel incat: \( |a_0+a_1\log_23+a_2\log_34+...+a_n\log_{n+1}(n+2)|<\frac{1}{10^n-1} \)
Ion Savu
Ion Savu