作业帮1/1x3+1/3x5+1/5x7+1/7x9+1/9x11=?
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/04 03:42:02
1/1x3+1/3x5+1/5x7+1/7x9+1/9x11=?
1/1x3+1/3x5+1/5x7+1/7x9+1/9x11=?
1/1x3+1/3x5+1/5x7+1/7x9+1/9x11=?
=1/2×（1-1/3+1/3-1/5+1/5-1/7+17-1/9+1/9-1/11）
=1/2×（1-1/11）
=1/2×10/11
=5/11
1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+1/(9×11)
=(1/2)(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)
=(1/2)(1-1/11)
=(1/2)(10/11)
=5/11