Ecuatie functionala
Posted: Thu Apr 23, 2009 10:10 pm
Determinati functiile \( f : (0,\infty)\rightarrow \mathbb{R} \) continue cu proprietatile :
1) \( f(x)=\frac{1}{x}\int_x^{ex}f(t)dt , x>0 \),
2) exista \( \lim _{x\to\infty}xf(x)\in \mathbb{\overline{R}} \).
Nelu Chichirim, Shortlist ONM 2009
1) \( f(x)=\frac{1}{x}\int_x^{ex}f(t)dt , x>0 \),
2) exista \( \lim _{x\to\infty}xf(x)\in \mathbb{\overline{R}} \).
Nelu Chichirim, Shortlist ONM 2009