I'm a little busy with the Rule feature in Maple 
Just started with the limits and can't get 1 limit rule working in my FSimp procedure yet
As a limit example I saw this in Maple help 

with(Student:-Calculus1);
infolevel[Student[Calculus1]] := 1;

Rule[lhopital, ln(x)](Limit(x*ln(x), x = 0, right));
Creating problem #2

                  lim   (x ln(x)) =   lim   (-x)
                x -> 0+             x -> 0+     

A meaningless example of how one limit of a function is equal to another limit of a function, when I think there is no connection between the two functions. ( I don't see it ) 
You might as well calculate the limit value right away.

It gets more interesting when you analyze the function/expression : x*ln(x) and start rewriting it, to a [0/0] or [infinity/infinity] form in this case and from this it shows the need to start using lhopital rule.

The Rule feature has a Hint capability and gives as a hint, lhopital that this rule is applied 
Of course, you also have a series of standard limits, beyond the lhopital limits
The Rule feature for the limit is not yet step by step, because the need to start using a lhopital limit rule has not yet been demonstrated by the user

Can't figure out what code makes this simplification.
If this simplification works, it will be a part of a larger simplication procedure ( if it not conflicts hopefully) 
vereenvouding_hoe_-vraag_MPF.mw

Maybe someone get the code working ?
 

with(plots):
with(VectorCalculus):

# Example 1: Vector Field and Visualization
V := [x, y, z]:
print("Vector Field V:", V):
fieldplot3d([V[1], V[2], V[3]], x = -2..2, y = -2..2, z = -2..2, arrows = slim, title = "Vector Field in 3D"):

# Example 2: Tangent Vector to a Curve
curve := [cos(t), sin(t), t]:
print("Curve:", curve):
tangent := diff(curve, t):
print("Tangent Vector:", tangent):
plot3d([cos(t), sin(t), t], t = 0..2*Pi, labels = [x, y, z], title = "Curve in 3D"):

# Example 3: Curvature of a Surface
u := 'u': v := 'v':
surface := [u, v, u^2 - v^2]:
print("Surface:", surface):

# Compute the first fundamental form
ru := [diff(surface[1], u), diff(surface[2], u), diff(surface[3], u)]:
rv := [diff(surface[1], v), diff(surface[2], v), diff(surface[3], v)]:
E := ru[1]^2 + ru[2]^2 + ru[3]^2:
F := ru[1]*rv[1] + ru[2]*rv[2] + ru[3]*rv[3]:
G := rv[1]^2 + rv[2]^2 + rv[3]^2:
firstFundamentalForm := Matrix([[E, F], [F, G]]):
print("First Fundamental Form:", firstFundamentalForm):

# Compute the second fundamental form
ruu := [diff(surface[1], u, u), diff(surface[2], u, u), diff(surface[3], u, u)]:
ruv := [diff(surface[1], u, v), diff(surface[2], u, v), diff(surface[3], u, v)]:
rvv := [diff(surface[1], v, v), diff(surface[2], v, v), diff(surface[3], v, v)]:
normal := CrossProduct(ru, rv):
normal := eval(normal / sqrt(normal[1]^2 + normal[2]^2 + normal[3]^2)):
L := ruu[1]*normal[1] + ruu[2]*normal[2] + ruu[3]*normal[3]:
M := ruv[1]*normal[1] + ruv[2]*normal[2] + ruv[3]*normal[3]:
N := rvv[1]*normal[1] + rvv[2]*normal[2] + rvv[3]*normal[3]:
secondFundamentalForm := Matrix([[L, M], [M, N]]):
print("Second Fundamental Form:", secondFundamentalForm):

# Compute the Christoffel symbols
# Ensure DifferentialGeometry package is loaded
with(DifferentialGeometry):
DGsetup([u, v], N):
Gamma := Christoffel(firstFundamentalForm):
print("Christoffel Symbols:", Gamma):

# Visualize the surface
plot3d([u, v, u^2 - v^2], u = -2..2, v = -2..2, labels = [u, v, z], title = "Saddle Surface in 3D"):

This is still a  starting procedure and let's see what can be added?

Download maple_primes_-doorsnijdingsvlak_solids_procedureDEF.mw

Include print level in procedure
In the procedure code printlevel is not accepted
-enviroment variable
-interface variable 
error message : Error, (in interface) unknown interface variable, printlevel

More convenient in my opinion is to include on the printlevel depth in the procedure call?

Download MP_vraag_printlevel_in_procedure_-lukt_niet.mw