(1/4+1/5+1/6+...+1/671)(1/3+1/4+1/5+...+1/670)-(1/3+1/4+1/5+
1个回答

=(1/4+...+1/670 + 1/671) (1/3+...+1/670) - (1/3+ ...+ 1/670 + 1/671) (1/4+ ...+1/670)

=(1/4+...+1/670) * (1/3+...+1/670) + 1/671* (1/3+...+1/670) - (1/3+ ...+1/670) * (1/4+ ...+1/670) - 1/671*(1/4+ ...+1/670)

=1/671* (1/3+...+1/670) - 1/671*(1/4+ ...+1/670)

=1/671 * (1/3 + ...1/670 - (1/4+ ...+1/670))

=1/671 * (1/3-1/4)

=1/(671*12)

=1/8052