Concursul Trident Braila subiectul 1
Posted: Sat Jan 17, 2009 9:13 pm
a). Sa se determine functia \( f:\mathbb{R}\to\mathbb{R} \) cu:
\( 2f(x)-3f(\frac{1}{x})=2x^2-\frac{3}{x^2}+12x-\frac{18}{x}-9,(\forall)x\in\mathbb{R}^* \)
b). Calculati suma:
\( S=\displaystyle\sum^{2009}_{i=1}\frac{1}{f(i)-4}. \)
Prof. Daniela Covaci, Braila
\( 2f(x)-3f(\frac{1}{x})=2x^2-\frac{3}{x^2}+12x-\frac{18}{x}-9,(\forall)x\in\mathbb{R}^* \)
b). Calculati suma:
\( S=\displaystyle\sum^{2009}_{i=1}\frac{1}{f(i)-4}. \)
Prof. Daniela Covaci, Braila