Question

Fie functia f:IR\{-1} →IR,f(x)=x supra x+1 .Calculati produsul P=f(1)·f(2)·...f(100)

Answer 1

$P= \frac{1}{2}* \frac{2}{3} * \frac{3}{4}*...* \frac{99}{100}* \frac{100}{101}$

Dupa cum vezi se reduc termenii:

$P = \frac{1}{101}$