Let α, r be real numbers such that r>1, r=3, r=4.
Find the values of α, r such that \lim_{n\to\infty} \sum_{k \equal{} 1}^n \frac {n^{\alpha}}{(n \plus{} k)^{r}} \equal{} \frac {r \minus{} 3}{(r \minus{} 1)(r \minus{} 4)}. calculusintegrationlimitcalculus computations