If (x – 1/x = 1), then what is the value of \(\frac{1}{x}\left( {\frac{1}{{x - 1}} - \frac{1}{{x + 1}} + \frac{1}{{{x^2} + 1}} - \frac{1}{{{x^2} - 1}}} \right)\)?

1
±√5
2
2/5
3
±2/√5
4
4/(5 ± √5)
5
None of the above

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