VWO 1987 Problem 4

Show that for $p>1$ we have $\lim_{n\rightarrow+\infty}\frac{1^p+2^p+...+(n-1)^p+n^p+(n-1)^p+...+2^p+1^p}{n^2} = +\infty$ Find the limit if $p=1$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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