収束速度の検証（例５、６）例５と例１の数値の関連に注意。（x=1に関して対称）
| 例５ p=1, q=3,. .1＜x＜3 1/(1-x)=t=Sn+rn,. .Sn=an0+an1x+ an2x2+...+annxn,. .|rn|＜ε=0.001 n が小さいほど収束が速い。 | 例６ p=1, q=6,. .1＜x＜6 1/(1-x)=t=Sn+rn,MMSn=an0+an1x+ an2x2+...+annxn,. .|rn|＜ε=0.001 n が小さいほど収束が速い。 | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| x | n | Sn | t | |rn| | x | n | Sn | t | |rn| |
| 1.001 | 13808 | -999.999 | -1000.00 | 0.0009996 | 1.001 | 34531 | -999.999 | -1000.00 | 0.0009999 |
| 1.01 | 1145 | -99.9990 | -100.000 | 0.000995 | 1.01 | 2872 | -99.9990 | -100.000 | 0.000998 |
| 1.1 | 87 | -9.99906 | -10.0000 | 0.000940 | 1.1 | 225 | -9.99902 | -10.0000 | 0.000985 |
| 1.2 | 38 | -4.99917 | -5.00000 | 0.000831 | 1.5 | 34 | -1.99919 | -2.00000 | 0.000811 |
| 1.4 | 15 | -2.49929 | -2.50000 | 0.000705 | 2.0 | 13 | -0.99922 | -1.00000 | 0.000784 |
| 1.6 | 8 | -1.66623 | -1.66667 | 0.000437 | 2.5 | 7 | -0.66623 | -0.66667 | 0.000437 |
| 1.8 | 4 | -1.24960 | -1.25000 | 0.000400 | 3.0 | 3 | -0.49920 | -0.50000 | 0.000800 |
| 2 | 0 | -1.00000 | -1.00000 | 0.000000 | 3.5 | 0 | -0.40000 | -0.40000 | 0.000000 |
| 2.2 | 4 | -0.83360 | -0.83333 | 0.000267 | 4.0 | 3 | -0.33280 | -0.33333 | 0.000533 |
| 2.4 | 7 | -0.71382 | -0.71429 | 0.000468 | 4.5 | 6 | -0.28618 | -0.28571 | 0.000468 |
| 2.6 | 12 | -0.62582 | -0.62500 | 0.000816 | 5.0 | 10 | -0.25091 | -0.25000 | 0.000907 |
| 2.8 | 28 | -0.55642 | -0.55556 | 0.000860 | 5.5 | 24 | -0.22306 | -0.22222 | 0.000840 |
| 2.9 | 59 | -0.52537 | -0.52632 | 0.000946 | 5.9 | 130 | -0.20505 | -0.20408 | 0.000971 |
| 2.99 | 618 | -0.50351 | -0.50251 | 0.000998 | 5.99 | 1322 | -0.20140 | -0.20040 | 0.000998 |
| 2.999 | 6212 | -0.50125 | -0.50025 | 0.000999 | 5.999 | 13243 | -0.19904 | -0.20004 | 0.0009999 |
例３、４. .-0.4＜x＜0.7 ; -0.7＜x＜1
例５、６. .1＜x＜3 ; 1＜x＜6
例７、８. .10＜x＜13 ; -11＜x＜-8
例９、10. .-2＜x＜0 ; -3＜x＜1