若已知x+1/x=3,则x/(x²+1)=

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若已知x+1/x=3,则x/(x²+1)=
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若已知x+1/x=3,则x/(x²+1)=
若已知x+1/x=3,则x/(x²+1)=

若已知x+1/x=3,则x/(x²+1)=

x/(x²+1)——分之分母同时除以x
=(x/x)/[(x²/x)+(1/x)]
=1/[x+(1/x)]
=1/3