1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100) 利用简便方法计算

1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100) 利用简便方法计算
1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100) 利用简便方法计算

1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100) 利用简便方法计算
1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100)………打开括号,里面变号
=1/2－1/2＋1/3－1/3＋1/4－………－1/99＋1/100
=1/100