Question 1184837
(i) {{{ 1/(1*2) - 1/(2*3) + 1/(3*4) - 1/(4*5) + 1/(5*6) -" ..." = 2ln2 -1}}},


(ii){{{ 1/(1*2) - 1/(3*4) + 1/(5*6) - 1/(7*8) + 1/(9*10) - "..." = 0.4388245731}}}, which I truncated to the first 10 decimal places.  THERE IS an exact value for this.


There is a general method which will give the exact values for these series.  To get the details, message me, including your email.