| 1 | - | a |
| 1 - r | 1 - r |
though always less than
| 1 |
| 1 - r |
may be brought as near to
| 1 |
| 1 - r |
as we please; that is, the series 1 + r + rr + &c. continually approaches to the limit
| 1 | . |
| 1 - r |
Thus 1 + ½ + ¼ + ⅛ + &c. where r = ½, continually approaches to
| 1 | or 2, |
| 1 - ½ |
as was shewn in the last article.