(1)(1-1/2²)(1-1/3²)(1-1/4²)……(1-1/100²)=1/2*3/2*2/3*4/3*3/4*5/4...*98/99*100/99*99/100*101/100=1/2*101/100=101/200;
(2)(1-1/2²)(1-1/3²)(1-1/4²)……(1-1/n²)=1/2*(n+1)/n=(n+1)/2n
(1)(1-1/2²)(1-1/3²)(1-1/4²)……(1-1/100²)=1/2*3/2*2/3*4/3*3/4*5/4...*98/99*100/99*99/100*101/100=1/2*101/100=101/200;
(2)(1-1/2²)(1-1/3²)(1-1/4²)……(1-1/n²)=1/2*(n+1)/n=(n+1)/2n