\[S=1+\dfrac1{2}+\dfrac1{3}+\dfrac1{4}+\dfrac{1}{5}+\dfrac{1}{6}+\dfrac{1}{7}+\dfrac{1}{8}+ \cdots\]

Find the value of \(S\) as defined above.

Select 666 if you come to the conclusion that the series fails to converge

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