Problem w/ limit which I do not understand: lim[x->+inf] (1-1/2)*(1-1/3)*...*(1-1/n)
lim (1-1/2)*(1-1/3)*.....*(1-1/n) and the answer would be 0.I searched my textbook and it showed me this 1/n.How did it get there?I searched google for answers and I got (n-2)*(n-1)/(n-1)/n which is x->+inf n-2/n but no proof at all and after that they get 2/n.Could someone help me?
lim (1-1/2)*(1-1/3)*.....*(1-1/n) and the answer would be 0.I searched my textbook and it showed me this 1/n.How did it get there?I searched google for answers and I got (n-2)*(n-1)/(n-1)/n which is x->+inf n-2/n but no proof at all and after that they get 2/n.Could someone help me?