Please solve this sum: lim_{n->infinity} (1/n^3) sum_{k=1}^n (int_0^1 (x^k)/(2022x+2023) dx)^{-1} (int_0^1 (x^k)/(2023x+2022) dx)^{-1}

[rs446633]

Please solve this sum:

$\displaystyle{ \lim_{n \rarr \infin} \frac{1}{n^3} \sum_{k=1}^n \left(\int_0^1 \frac{x^k}{2022x + 2023}dx\right)^{-1} \left(\int_0^1 \frac{x^k}{2023x + 2022} dx \right)^{-1} }$

 

[stapel]

Please solve this sum:

$\displaystyle{ \lim_{n \rarr \infin} \frac{1}{n^3} \sum_{k=1}^n \left(\int_0^1 \frac{x^k}{2022x + 2023}dx\right)^{-1} \left(\int_0^1 \frac{x^k}{2023x + 2022} dx \right)^{-1} }$

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