| Ilya Zakharevich on Sat, 10 May 2003 15:29:23 -0700 |
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| CVS: seriesprecision too large |
? default(seriesprecision,9)
seriesprecision = 9 significant terms
? sin(x+y)
/ 1 3 1 5 1 7 1 9 10 \
%2 = | y - -y + ---y - ----y + ------y + O(y ) | +
\ 6 120 5040 362880 /
/ 1 2 1 4 1 6 1 8 1 10 11 \
| 1 - -y + --y - ---y + -----y - -------y + O(y ) | x +
\ 2 24 720 40320 3628800 /
/ -1 1 3 1 5 1 7 1 9 10 \ 2
| --y + --y - ---y + -----y - ------y + O(y ) | x +
\ 2 12 240 10080 725760 /
/ -1 1 2 1 4 1 6 1 8 1 10 11 \ 3
| -- + --y - ---y + ----y - ------y + --------y + O(y ) | x +
\ 6 12 144 4320 241920 21772800 /
/ 1 1 3 1 5 1 7 1 9 10 \ 4
| --y - ---y + ----y - ------y + -------y + O(y ) | x +
\ 24 144 2880 120960 8709120 /
/ 1 1 2 1 4 1 6 1 8 1 10 11 \ 5
| --- - ---y + ----y - -----y + -------y - ---------y + O(y ) | x +
\ 120 240 2880 86400 4838400 435456000 /
/ -1 1 3 1 5 1 7 1 9 10 \ 6 / -1
| ---y + ----y - -----y + -------y - ---------y + O(y ) | x + | ---- +
\ 720 4320 86400 3628800 261273600 / \ 5040
---8<---8<---
1 2 1 4 1 6 1 8 1 10 11 \ 7
-----y - ------y + -------y - ---------y + -----------y + O(y ) | x
10080 120960 3628800 203212800 18289152000 /
/ 1 1 3 1 5 1 7 1 9 10 \
+ | -----y - ------y + -------y - ---------y + -----------y + O(y ) |
\ 40320 241920 4838400 203212800 14631321600 /
8 9
x + O(x )
See the terms with y^10. It is fine with 2.2.0.
Yours,
Ilya