设N∈N*,利用放缩法证明1/(n+1)+1/(n+2)+1/(n+3) +……+1/3n

sosagbaby 1年前 已收到1个回答 举报

mnb1984 果实

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1/(n+1)+1/(n+2)+1/(n+3)+······+1/(3n)
<1/(n+1)+1/(n+1)+1/(n+1)+······+1/(n+1)
=[3n-(n+1)]/(n+1)
=(2n-1)/(n+1)
<(2n+2)/(n+1)
=2

1年前

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