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Question: how to make limit give same result as eval, when Dirac(t) is involved?

Question:how to make limit give same result as eval, when Dirac(t) is involved?

nm 10411 Maple 2024
eval limit dirac
December 13 2024
0

Is there a trick to make Maple give same result below when using eval and limit?  

Attached worksheet. This comes in context of solving ode  using Laplace. Initial conditions are at zero. And need to solve for the constant of integration. 

It works when using eval, since Dirac(t) becomes Dirac(0), but when using Limit, Dirac(t) becomes zero and the _C1 is lost. I was wondering if limit should also return Dirac(0) like eval?

> 

interface(version);

`Standard Worksheet Interface, Maple 2024.2, Windows 10, October 29 2024 Build ID 1872373`

> 

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1838 and is the same as the version installed in this computer, created 2024, December 2, 10:11 hours Pacific Time.`

> 

restart;
> 

e:=1/2*t+_C1*Dirac(t);

(1/2)*t+_C1*Dirac(t)

> 

eval(e,t=0)

_C1*Dirac(0)

> 

limit(e,t=0)

0

 

 

Download dirac_limit_dec_13_2024.mw
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