Răspuns:
3/2·4/3·5/4·6/5·........·1000/999·1001/1000=
dupa simplificare obtinem:
=1001/2
Explicație pas cu pas:
1(1/2)=(1×2+1)/2=(2+1)/2=3/2
1(1/3)=(1×3+1)/3=(3+1)/3=4/3
1(1/4)=.............................=5/4
1(1/5)=............................=6/5
.
.
1(1/999)=.....................=1000/999
1(1/1000)=....................=1001/1000
