604

Part of 2010 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 604

Source:

r

be a positive integer. Determine the value of

a

for which the limit value

\lim_{n\to\infty} \frac{\sum_{k=1}^n k^r}{n^a}

has a non zero finite value, then find the limit value.
1956 Tokyo Institute of Technology entrance exam

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