1/1x3+1/3x5+1/5x7+1/7x9+1/9x11+1/11x13=

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/24 15:03:07
1/1x3+1/3x5+1/5x7+1/7x9+1/9x11+1/11x13=
x)370670@ҼHZV)C Cc["}ِa=@-FPqn7aP j AMy{]O'<|] Olvөodkd$ف<%PU

1/1x3+1/3x5+1/5x7+1/7x9+1/9x11+1/11x13=
1/1x3+1/3x5+1/5x7+1/7x9+1/9x11+1/11x13=

1/1x3+1/3x5+1/5x7+1/7x9+1/9x11+1/11x13=
1/1x3 = (1-1/3)/2
1/3x5 = (1/3-1/5)/2
.
.
.
1/11x13 = (1/11-1/13)/2
以上各式累加
原式=(1-1/13)/2=6/13