Possible inconsistency in symbolic limits

asked 2021-01-20 02:58:40 +0200

cav_rt
494 ●9 ●24

updated 2023-01-09 23:59:54 +0200

tmonteil
27323 ●31 ●202 ●514 http://wiki.sagemath.o...

I was trying to manipulate some symbolic expressions and got an unexpected error. Here is a minimal example,

u=integrate(x**3/(exp(x)-1),(x,0,oo))

The expression is quite messy, but the result is known. When I try to use any simplification routine, like

u.simplify()

sage displays the error message

RuntimeError: ECL says: Error executing code in Maxima: limit: direction must be either 'plus' or 'minus'; found: _SAGE_VAR_minus

As far I understood, the expression is defining lateral limits by symbolic variables, while maxima handle such limits as strings. If it is the case there is an internal conflict here. Is it the case?

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Smaller display of the same bug:

sage: maxima('limit(polylog(4,e^x),x,+Infinity,minus)').sage()                  
limit(polylog(4, _e^x), x, +Infinity, minus)
sage: _.simplify()

FrédéricC ( 2021-01-20 10:26:07 +0200 )edit

Thank you!

cav_rt ( 2021-01-20 21:48:55 +0200 )edit

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