Looking back at this question:

https://www.mapleprimes.com/questions/37691-How-Do-I-Change-The-Background-Colour

the reply by Hmm in 2009

"In Linux there is an X11 resource file for the classic worksheet, one of the settings controls the background color.  The distributed file is located in the maple/X11_defaults directory."

suggested a solution only thiis does not work for me in Maple2024. Perhaps because this worked for the classic view.

Why is there still no way to do this after 16 years or perhaps I just cannot find the option?

Is there away to change the background colour or even invert all colours?

In this post https://math.stackexchange.com/questions/1196194/asymptotic-behaviour-of-frac1x-1-frac1x2-1-frac1x3-1-cdots

this sum is evaluated in the answer to be

I cannot see how to use eularmac to get this answer as x approaches 1.

Maybe using

ge := `assuming`([sum(1/(x^k-1), k = 1 .. infinity)], [k::integer])then something like

eulermac(ge, limit(ge, x = 1), 3)

I cannot seem to set up this integral correctly:

Gradshteyn 3.529

I think maple should do it.

`assuming`([int(((cosh(a*x)-1)/sinh(b*x))(1/x), x = 0 .. infinity)], [b > abs(a)])

I wonder where I'm going wrong here? Thank you in advance.

I am trying to get the exponential Fourier series versiion  with C_n seperate and it appears this package https://www.maplesoft.com/applications/view.aspx?SID=4857&view=html seems to do this

While I'm not particular to this package https://www.maplesoft.com/applications/view.aspx?SID=4857&view=html I cannot get it to work. It could be that FourierSeries is not built into maple in which case only the worksheet appears to be availble on the link above with no application in which case it should be removed.

If not an alternative would do. For example I got this https://www.maplesoft.com/applications/view.aspx?SID=33406 to work but I cannot get it in  format like Khanshan's package see example output (1.7).

Is there any maple function to test whether infinite sums and integrals can be swapped say for example whether

this is true? for a given f(x):