1/1*2+1/2*3+1/3*4+1/4*5+...1/39*40怎么计算?
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/03 17:17:53
![1/1*2+1/2*3+1/3*4+1/4*5+...1/39*40怎么计算?](/uploads/image/z/42179-59-9.jpg?t=1%2F1%2A2%2B1%2F2%2A3%2B1%2F3%2A4%2B1%2F4%2A5%2B...1%2F39%2A40%E6%80%8E%E4%B9%88%E8%AE%A1%E7%AE%97%3F)
x)372672Z&@DT[OOȵ21xdgNjunoTO;ZVfkTR*e@ZHjalcKS 1L FN+
1/1*2+1/2*3+1/3*4+1/4*5+...1/39*40怎么计算?
1/1*2+1/2*3+1/3*4+1/4*5+...1/39*40怎么计算?
1/1*2+1/2*3+1/3*4+1/4*5+...1/39*40怎么计算?
1/1*2+1/2*3+1/3*4+1/4*5+...1/39*40
=1-1/2+1/2-1/3+1/3-1/4+……+1/39-1/40
=1-1/40
=39/40