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

Răspuns :

[tex]P= \frac{1}{2}* \frac{2}{3} * \frac{3}{4}*...* \frac{99}{100}* \frac{100}{101} [/tex]

Dupa cum vezi se reduc termenii:

[tex]P = \frac{1}{101} [/tex]