■数直線上の集合(その48)

w=(√7-2)=[0:1,1,1,4,1,1,1,4,・・・]

1-w=(3-√7)=[0:1,0,1,1,4,・・・]=[0:2,1,4,・・・]

を検算。

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  3-√7=0+1/(3+√7)/2

    =0+1/(2+(√7-1)/2)

    =0+1/{2+1/(√7+1)/3}

    =0+1/{2+1/(1+(√7-2)/3)}

    =0+1/{2+1/(1+1/(√7+2)}

    =0+1/{2+1/(1+1/(4+√7-2)}

    =0+1/{2+1/{1+1/{4+1/(√7+2)/3)1/{2+・・・

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