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Post Closed as "Not suitable for this site" by David Roberts♦, user44191, Wojowu, Pietro Majer, Joseph Van Name
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David Roberts ♦
David Roberts ♦
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enter image description here$$ \sum_{m=1}^{n} m^{-1+1/p} \leq Cn^{1/p} $$

For $1<p<2$, I know the LHS is divergent but I can't see its speed of divergence is not faster than $n^{1/p}$.

enter image description here

For $1<p<2$, I know the LHS is divergent but I can't see its speed of divergence is not faster than $n^{1/p}$.

$$ \sum_{m=1}^{n} m^{-1+1/p} \leq Cn^{1/p} $$

For $1<p<2$, I know the LHS is divergent but I can't see its speed of divergence is not faster than $n^{1/p}$.

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Tak wa Ng
Tak wa Ng
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How to see the divergence of a series is not faster than some order?

enter image description here

For $1<p<2$, I know the LHS is divergent but I can't see its speed of divergence is not faster than $n^{1/p}$.