Calculate the limit with the series of fractional powers – math.stackexchange.com

Calculate the limit $$\lim_{n\to\infty} \frac{1+{1.5}^{\frac{1}{n}}+{1.5}^{\frac{2}{n}}+\cdots+{1.5}^{\frac{n-1}{n}}}{n}$$ I got $1.23315\ldots$ by computer programming, but is there any way to get ...

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