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Question: multi limit fail, but separate limits works

Question:multi limit fail, but separate limits works

nm 12248 Maple
limit
1 hour ago
0

Maple 2026 and Maple 2025.2

Is this a bug in limit? or as designed?

Doing 

limit(sol,[_C3 = 0, _C4 = 0])

Gives internal error. But

limit(sol,_C3 = 0);
limit(%,_C4 = 0);

works and no error.

Worksheet below. I've had problems before with multilimit. I think I need to change my code to do limit one by one from now on.

 

> 

interface(version);

`Standard Worksheet Interface, Maple 2026.0, Windows 10, March 05 2026 Build ID 2001916`

> 

restart;
> 

sol:=(piecewise(t <= 0,0,t <= Pi,(arctan(tan(t))*cos(t)*_C3*_C4+arctan(tan(t))*sin(t)*_C4^2-cos(t)*_C3*_C4*t+sin(t)*_C3^2*t)/(_C3*cos(t)+_C4*sin(t)),Pi < t,Pi*_C3*(tan(t)*_C3-_C4)/(tan(t)*_C4+_C3))+2*_C3^2+2*_C4^2)*(_C3*cos(t)+_C4*sin(t))/(2*_C3^2+2*_C4^2)

sol := (piecewise(t <= 0, 0, t <= Pi, (arctan(tan(t))*cos(t)*_C3*_C4+arctan(tan(t))*sin(t)*_C4^2-cos(t)*_C3*_C4*t+sin(t)*_C3^2*t)/(cos(t)*_C3+_C4*sin(t)), Pi < t, Pi*_C3*(tan(t)*_C3-_C4)/(tan(t)*_C4+_C3))+2*_C3^2+2*_C4^2)*(cos(t)*_C3+_C4*sin(t))/(2*_C3^2+2*_C4^2)

> 

limit(sol,[_C3 = 0, _C4 = 0])

Error, (in limit/multi/ldegree1) invalid input: limit/multi/ReIm expects its 1st argument, f, to be of type polynom, but received _DIR1*cos(t)+_DIR2*sin(t)

> 

limit(sol,_C3 = 0)

piecewise(t <= 0, _C4*sin(t), t <= Pi, (1/2)*arctan(tan(t))*sin(t)+_C4*sin(t), _C4*sin(t))

> 

limit(%,_C4 = 0)

piecewise(t <= 0, 0, t <= Pi, (1/2)*arctan(tan(t))*sin(t), 0)

> 

 


 

Download limit_problem_april_2_2026.mw
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