3daf5f85-42b2-4171-822e-42749feab939 8 15 12 decimal

&[DATE] &[TIME] - &[FILENAME]

set 'n' the length of expansion

n 12 :

Optimiz OFF [None]

Thiele continued fraction x g x sin confrac x n convert maple : x 1 x 2^6 x 2^107 / - x 2^68611 / - x 2^21783857 / 1331 x 2^* 607202 / + / + / + / + / + /

Thiele continued fraction x g x cos confrac x n convert maple : 1 x 2^2 - x 2^6 - x 2^103 / x 2^37813 / 177 x 2^* 338 / - / + / + / + / +

Thiele continued fraction x g x tan confrac x n convert maple : x 1 x 2^3 - x 2^5 x 2^7 - x 2^9 x 2^11 / - / + / + / + / + /

Thiele continued fraction x g x exp confrac x n convert maple : 1 x 1 x 2 - x 3 - x 2 x 5 x 2 - x 7 - x 2 x 9 x 2 - x 11 / - / + / + / + / + / + / + / + / + / + / +

x Clear 1

Thiele continued fraction x g x atan confrac x n convert maple : x 1 x 2^3 x 2^54 / x 2^289 / x 2^8164 / 225 x 2^* 704 / + / + / + / + / + /

Thiele continued fraction x g x asin confrac x n convert maple : x 1 x 2^6 - x 2^1017 / x 2^4046549 / - x 2^6028021173833 / 12889271025 x 2^* 104890816822 / - / + / + / + / + /

Thiele continued fraction x g x acos confrac x n convert maple : π 2 / x 1 - x 2^6 x 2^1017 / - x 2^4046549 / x 2^6028021173833 / - 12889271025 x 2^* 104890816822 / + / + / + / + / + / +

Thiele continued fraction x Ln 1 x + ln confrac x n convert maple : x 1 x 2 x 3 x 1 x 5 x 23 / x 7 x 12 / x 9 x 25 / x 11 / + / + / + / + / + / + / + / + / + / + /

x f x sqrt :

Thiele continued fraction x SQRT 1 x + f confrac x n convert maple : 1 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 / + / + / + / + / + / + / + / + / + / + / + / + / +

x λ 10 x ≤ (x 4 ≤ (& cases :

x 1 - Ln x λ * x ln 2 1 sys x 1 - SQRT x λ * x sqrt 2 1 sys