Potential Telescoping Series

Calculus Level 3

\[S=\frac { 1 }{ 1 } -\frac { 1 }{ 2 } +\frac { 1 }{ 2 } -\frac { 1 }{ 4 } +\frac { 1 }{ 3 } -\frac { 1 }{ 6 } +\frac { 1 }{ 4 } -\dots \]

Assuming the pattern continues, determine the value of \(S\).

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