Casio fx-115ES Plus

[Thomas Klemm]

(09-13-2014 11:11 AM)Don Shepherd Wrote:  Yes, Thomas, that yields 3.141592654 after 33 iterations.

Don, thanks for taking the time to confirm this. What bothers me a little is that it needs 33 iterations since that's what I get when the result is rounded to 10 significant digits:

Code:

      PreAns        Ans
 0:   0.000000000   2.000000000
 1:   1.414213562   2.828427125
 2:   1.847759065   3.061467459
 3:   1.961570561   3.121445152
 4:   1.990369453   3.136548491
 5:   1.997590912   3.140331157
 6:   1.999397637   3.141277251
 7:   1.999849404   3.141513801
 8:   1.999962351   3.141572940
 9:   1.999990588   3.141587725
10:   1.999997647   3.141591422
11:   1.999999412   3.141592346
12:   1.999999853   3.141592577
13:   1.999999963   3.141592634
14:   1.999999991   3.141592649
15:   1.999999998   3.141592652
16:   1.999999999   3.141592653
17:   2.000000000   3.141592654
18:   2.000000000   3.141592654
19:   2.000000000   3.141592654
20:   2.000000000   3.141592654
21:   2.000000000   3.141592654
22:   2.000000000   3.141592654
23:   2.000000000   3.141592654
24:   2.000000000   3.141592654
25:   2.000000000   3.141592654
26:   2.000000000   3.141592654
27:   2.000000000   3.141592654
28:   2.000000000   3.141592654
29:   2.000000000   3.141592654
30:   2.000000000   3.141592654
31:   2.000000000   3.141592654
32:   2.000000000   3.141592654
33:   2.000000000   3.141592654

Where does it start to deviate?

Cheers
Thomas