求证数列收敛
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求证数列收敛
求证数列收敛
求证数列收敛
a(n+p)=1+1/2+1/3+..+1/n+1/(n+1)+...+1/(n+p)
a(n+p)-an=1+1/2+1/3+..+1/n+1/(n+1)+...+1/(n+p)-(1+1/2+1/3+...+1/n)=1/(n+1)+...+1/(n+p)
an+p=1+1/2+1/3+……+1/n+1/n+1+1/n+2+……+1/n+p
an+p-an=1/n+1+1/n+2+……+1/n+p