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f:(0,8)->R , f(x)=x/(x+1)
f(1)*f(2)*...............*f(2016)=?


Răspuns :

f(1)= 1/2
f(2)= 2/3
f(3)= 3/4
.
.
.
f(2016)= 2016/2017

f(1)*F(2)*...* f(2016)= [tex] \frac{1}{2}* \frac{2}{3}* \frac{3}{4} *...* \frac{2016}{2017} [/tex] si se simplifica 2 cu 2 , 3 cu 3 ... 2016 cu 2016 iar rezultatul este 1/2017