Question: Alternating serie how to get a exact value

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

 

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