[Maxima-bugs] [maxima:bugs] #4587 limit of integral expression incorrect, should be 1/e^2, not 0

[vsxbamboo <vsx...@us...>]

Further, I found that the calculation of the following expression also seems to be problematic:
(%i4)	n(x) := integrate((1-1/t)^t*%e^(%e*t), t, %e, x);
	limit(n(x), x, inf);
(%o3)	n(x):=integrate((1-1/t)^t*%e^(%e*t),t,%e,x)
(%o4)	integrate((1-1/t)^t*%e^(%e*t),t,%e,inf)


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**[bugs:#4587] limit of integral expression incorrect, should be 1/e^2, not 0**

**Status:** open
**Group:** None
**Created:** Wed Jul 30, 2025 07:56 AM UTC by vsxbamboo
**Last Updated:** Sun Oct 12, 2025 06:18 AM UTC
**Owner:** nobody


```
(%i40)	n(x) := integrate((1-1/t)^t*%e^(%e*t), t, %e, x);
	n(%e+1);
	d(x) := %e^(%e*x);
	limit(n(x)/d(x), x, inf);
(%o37)	n(x):=integrate((1-1/t)^t*%e^(%e*t),t,%e,x)
(%o38)	integrate((1-1/t)^t*%e^(%e*t),t,%e,%e+1)
(%o39)	d(x):=%e^(%e*x)
(%o40)	0
```


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