1/2 + 1/6 + 1/12 + 1/20 + ... + 1/x(x + 1)
= 1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 + ... + 1/x(x+1)
= 1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + ... + 1/x - 1/x+1
= 1 - 1/x+1
= x+1/x+1 - 1/x+1
= x/x+1
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