(1/50-1)(1/49-1)(1/48-1)…(1/4-1)(1/3-1)(1/2-1)[等于多

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/16 23:38:02
(1/50-1)(1/49-1)(1/48-1)…(1/4-1)(1/3-1)(1/2-1)[等于多(1/50-1)(1/49-1)(1/48-1)…(1/4-1)(1/3-1)(1/2-1)[等于多

(1/50-1)(1/49-1)(1/48-1)…(1/4-1)(1/3-1)(1/2-1)[等于多
(1/50-1)(1/49-1)(1/48-1)…(1/4-1)(1/3-1)(1/2-1)[等于多

(1/50-1)(1/49-1)(1/48-1)…(1/4-1)(1/3-1)(1/2-1)[等于多
-1\50

(1/50-1)(1/49-1)(1/48-1).......(1/4-1)(1/3-1)(1/2-1) = (-1)^49 * (1-1/50)(1-1/49)...(1-1/2) = (-1) * (49/50)(48/49)...(2/3)(1/2) = (-1) * (49*48*............*2*1)/(50*49*48*................*3*2) = (-1) * (1)/(50) = -1/50