[9933] in Athena Bugs
decmips 7.4G: maple
daemon@ATHENA.MIT.EDU (Calvin Clark)
Sun Sep 27 06:34:21 1992
Date: Sun, 27 Sep 92 06:34:04 -0400
From: Calvin Clark <ckclark@mit.edu>
To: bugs@Athena.MIT.EDU
Cc: bug-maple@Athena.MIT.EDU
Reply-To: ckclark@mit.edu
System name: w20-575-62
Type and version: KN02ca 7.4G
Display type: PMAG-DV
What were you trying to do?
Play with series expansions.
What's wrong:
Observe:
> series(tan(x), x, 10);
3 5 17 7 62 9 10
x + 1/3 x + 2/15 x + --- x + ---- x + O(x )
315 2835
This is fine. However, if, instead of tan(x), I use the following
expression, equivalent by trigonometric identity, I don't get the
coefficient of the x^9 term:
> series((1-cos(2*x))/sin(2*x), x, 10);
3 5 17 7 9
x + 1/3 x + 2/15 x + --- x + O(x )
315
(I might note that plotting the difference between these two functions
results in a rather daliesque rendition of zero, but I can't blame maple
for that. :-)
What should have happened:
The two results should be identical. (Sorry, I can't find a
simpler example of this particular lossage.)
Please describe any relevant documentation references:
?series