Question

cine dorește sa ma ajute la b)?

Answer 1

1-1/2²=(1-1/2)*(1+1/2)=1/2*3/2
1-1/3²=(1-1/3)*(1+1/3)=2/3*4/3
1-1/4²=(1-1/4)*(1+1/4)=3/4*5/4\
...................................................
1-1/1000²=(1-1/1000)*(1+1/1000)=999/1000*1001/1000
1/2*2/3*4/3*3/4*...999/1000*1001/1000=
=Factorii   intermediari    se    simplifica=
1/2*...*1001/1000