($1/2 + 1/3 + 1/4 + ... + 1/9 + 1/10$) =

$9 + 99 + 999 + 9999 + ... + 999...9$ (تا ۱۰ رقم) =

$1/1+2 + 1/1+2+3 + 1/1+2+3+4 + ... + 1/1+2+3+...+100$ =

$(1 - 1/10) * (1 - 1/11) * (1 - 1/12) * ... * (1 - 1/50)$ =

$1+3+5+...+19 / 1/2 + 1/6 + 1/12 + ... + 1/380$ =

$311108 / 544485$ =

$1/2 + 1/4 + 1/8 + ... + 1/2^{10}$ =

$1/2 + 1/4 + 1/8 + ...$ =

$1 - 1 / (1 + 1 / (1 + 1/2))$ =