1/1×2+1/2×3+1/3×4…1/2008×2009+1/2009×2010﹦?简算

来源:学生作业帮助网 编辑:作业帮 时间:2024/06/08 13:22:23
1/1×2+1/2×3+1/3×4…1/2008×2009+1/2009×2010﹦?简算
x)3|t{ALӍLM5,XX” C;?_|t"}j_`g36PPH16&z V]0e Yy(<4_\g2>

1/1×2+1/2×3+1/3×4…1/2008×2009+1/2009×2010﹦?简算
1/1×2+1/2×3+1/3×4…1/2008×2009+1/2009×2010﹦?简算

1/1×2+1/2×3+1/3×4…1/2008×2009+1/2009×2010﹦?简算
1/1×2+1/2×3+1/3×4…1/2008×2009+1/2009×2010
=1-1/2+1/2-1/3+1/3-1/4+.+1/2008-1/2009+1/2009-1/2010
=1-1/2010
=2009/2010