Is this sequence convergent for n in natural numbers – math.stackexchange.com

Is $a_n = \frac{1}{n}+\frac{1}{n+1}+...+\frac{1}{2n}$ convergent? If so find its limit. Heres what ive tried: $... < \frac{1}{n}+\frac{1}{n+1}+...+\frac{1}{2n} < \frac{n}{n} = 1$ What should ...

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