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a fost răspuns

Se considera functia f:R-{-1}->R, f(x)=x/x+1. Calculati produsul : P=f(1)*f(2)*...f(100)

Răspuns :

Abcdebygabi
P=[tex] \frac{1}{2} \frac{2}{3} \frac{3}{4} \frac{4}{5} \frac{5}{6} \frac{6}{7} ... \frac{100}{101} = \frac{1}{101} [/tex]
Se observa ca se simplifica toti termenii mai putin 101
Albatran
P=1/2 * 2/3*3/4*....*99/100*100/101= 1/101
as simple as that!!!