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[tex]\sum_{i=0}^n i^k=\Theta(n^{k+1})[/tex]

Or equivalently

[tex] \lim_{n\to\infty}\frac{\sum_{i=0}^n i^k}{n^{k+1}}=C[/tex]

I simply don't know what to do with the sum here. I know that I can rewrite or expand it, but that doesn't seem to help me. Any suggestions?

Thank you!

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# Homework Help: Growth rate of integer power sum

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