化简:(1-1/x)÷(x²-1)/x

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化简:(1-1/x)÷(x²-1)/x

(1-1/x)÷(x²-1)/x
=[(x-1)/x]* x/(x+1)(x-1
=1/(x+1)

(1-1/x)÷(x²-1)/x
=x(1-1/x)/(x²-1)
=(x-1)/[(x+1)(x-1)]
=1/(x+1)