This exact value of this serie must be calculated with help of a integral and another serie (Maclaurin)

Note: there is Taylor serie and Maclarin is a special case of this Taylor serie. 

The serie is also numerical in Maple calculated , to get a idea of the exact value 

foroum_vraag_3_inleiding.mw 

I enclosed some book taks pdf about alternating series /infinite series and products 
to get a idea what is asked for  

blz_62.pdf

blz_63.pdf

blz64.pdf

blz66.pdf

blz_67.pdf

blz68.pdf

I must program exc set 3 task 2(i) and 2(ii)

Perhaps too much asked here on the mapleprime forum to come up with the solutions for this programming task ?

I did already some investigation how the code roughly works 
 

Its a graphical programming task to let show the tread-riser outlines for a right -hand rule and mid-pointrule in a graph   

exc_set_3_task_1_a_b.mw

blz_61_exc_set_3.pdf

blz_62.pdf  

I think there is a special needed package for this : student vector-calculus ?

I tried to get this plot with equal axis for x and y ? 

G:=(x,y)->2*x^2+y^2-2*(x+y+x*y-1);
implicitplot(G(x,y)=0,x=-2..10,y=-2..10,scaling=constrained);

To do this there should be a plotoption grid[ ], but probably obselote ?
Task (7) ask to plot the curve in rectangle [-,2,2]x[-4,5] : what rectangle?

Try using the Plotbuilder ( )command too( this generates also code )  and  interactive plotbuilder
Plotting this portion of curve in rectangle is not working yet.

ex_set_2_task_7.mw