小学一道计算题1÷2×4+1÷4×6+1÷6×8····+1÷2006×2008
问题描述:
小学一道计算题
1÷2×4+1÷4×6+1÷6×8····+1÷2006×2008
答
1÷2×4+1÷4×6+1÷6×8····+1÷2006×2008 =4/2+6/4+8/6+...+2008/2006=1+2/2+1+2/4+1+2/6+...+1+2/2006
=1003+1/2+1/3+1/4+...+1/1003=1003+ln1003