Einschliessung von sqrt(x+1/x) - sqrt(x-1/x) fuer x = 10**i, i = 1,...,10

 Ueber def. Ausdruck                                 Nach Ausloeschung vermeidender Umformung

[    3.1623171903685E-002,    3.1623171903688E-002 ][  3.162317190368602E-002,  3.162317190368605E-002 ]
[      1.00000000124E-003,      1.00000000126E-003 ][  1.000000001249999E-003,  1.000000001250001E-003 ]
[        3.162277659E-005,        3.162277662E-005 ][  3.162277660168773E-005,  3.162277660168776E-005 ]
[          9.9999996E-007,          1.0000001E-006 ][  9.999999999999997E-007,  1.000000000000001E-006 ]
[            3.16226E-008,            3.16229E-008 ][  3.162277660168377E-008,  3.162277660168381E-008 ]
[              9.997E-010,              1.001E-009 ][  9.999999999999998E-010,  1.000000000000001E-009 ]
[                3.0E-011,                3.3E-011 ][  3.162277660168378E-011,  3.162277660168381E-011 ]
[               -3.7E-012,                3.7E-012 ][  9.999999999999995E-013,  1.000000000000001E-012 ]
[               -3.7E-012,                1.1E-011 ][  3.162277660168378E-014,  3.162277660168381E-014 ]
[               -3.0E-011,                4.4E-011 ][  9.999999999999994E-016,  1.000000000000001E-015 ]

Einschliessung von 1/(1+2*x) - (1-x)/(1+x) fuer x = 1/(2**i), i = 1,...,20

 Ueber def. Ausdruck                                 Nach Ausloeschung vermeidender Umformung

[  1.666666666666666E-001,  1.666666666666667E-001 ][  1.666666666666666E-001,  1.666666666666667E-001 ]
[   6.66666666666665E-002,   6.66666666666668E-002 ][  6.666666666666666E-002,  6.666666666666668E-002 ]
[    2.2222222222222E-002,    2.2222222222223E-002 ][  2.222222222222221E-002,  2.222222222222223E-002 ]
[    6.5359477124181E-003,    6.5359477124184E-003 ][  6.535947712418299E-003,  6.535947712418301E-003 ]
[     1.782531194295E-003,     1.782531194297E-003 ][  1.782531194295900E-003,  1.782531194295901E-003 ]
[     4.662004662002E-004,     4.662004662005E-004 ][  4.662004662004662E-004,  4.662004662004663E-004 ]
[      1.19260584376E-004,      1.19260584377E-004 ][  1.192605843768634E-004,  1.192605843768635E-004 ]
[       3.0163182819E-005,       3.0163182820E-005 ][  3.016318281905106E-005,  3.016318281905107E-005 ]
[       7.5848939251E-006,       7.5848939254E-006 ][  7.584893925258455E-006,  7.584893925258456E-006 ]
[        1.901773403E-006,        1.901773404E-006 ][  1.901773403698949E-006,  1.901773403698950E-006 ]
[        4.761394611E-007,        4.761394615E-007 ][  4.761394612481995E-007,  4.761394612481997E-007 ]
[         1.19122027E-007,         1.19122028E-007 ][  1.191220277713948E-007,  1.191220277713949E-007 ]
[          2.9791411E-008,          2.9791412E-008 ][  2.979141155908555E-008,  2.979141155908556E-008 ]
[          7.4492163E-009,          7.4492166E-009 ][  7.449216549134789E-009,  7.449216549134791E-009 ]
[           1.862474E-009,           1.862475E-009 ][  1.862474631116644E-009,  1.862474631116646E-009 ]
[           4.656398E-010,           4.656401E-010 ][  4.656399717845831E-010,  4.656399717845833E-010 ]
[            1.16412E-010,            1.16413E-010 ][  1.164126573391087E-010,  1.164126573391088E-010 ]
[             2.9103E-011,             2.9104E-011 ][  2.910349739279090E-011,  2.910349739279091E-011 ]
[             7.2758E-012,             7.2761E-012 ][  7.275915981005290E-012,  7.275915981005291E-012 ]
[              1.818E-012,              1.820E-012 ][  1.818984199387008E-012,  1.818984199387010E-012 ]