D(r)=-1/2*((3*r^2 - 1)*elliptic_ec((4*r/(r^2 + 2*r + 1)))^2 + (r^2 - 2*r + 
1)*elliptic_ec((4*r/(r^2 + 2*r + 1)))*elliptic_kc((4*r/(r^2 + 2*r + 
1))))/(pi^2*r^8 - 2*pi^2*r^7 - pi^2*r^6 + 4*pi^2*r^5 - pi^2*r^4 - 
2*pi^2*r^3 + pi^2*r^2)

D(r).limit(r=0)

The limit should be -0.125 (or -1/8) but it seems maxima doesnt know the 
limit of elliptic_ec(x) for x->0
[image: 2024-02-20_00-22.png]
Sympy also fails giving -5/8.

The other algorithms cant evaluate it either.

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