Question

If n \in N^+ , prove

\dfrac{1}{2}\leq\dfrac{1}{n+1}+\dfrac{1}{n+2}+\dots+\dfrac{1}{2n}<1

Collected in the board: Inequality

Steven Zheng posted 10 months ago


Answer

\because n < n+k <2n

\therefore \dfrac{1}{2n} <\dfrac{1}{n+k}<\dfrac{1}{n}

Steven Zheng posted 10 months ago

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