Today's calculation of Integral 579
Source: 2010 Osaka Prefecture University entrance exam/Aero Enginnering
March 11, 2010
calculusintegrationlimitcalculus computations
Problem Statement
Let be a positive real number. Find \lim_{n\to\infty} \frac{(n\plus{}1)^a\plus{}(n\plus{}2)^a\plus{}\cdots \plus{}(n\plus{}n)^a}{1^{a}\plus{}2^{a}\plus{}\cdots \plus{}n^{a}}