Be $T(1) = b$ and $T(n) = aT(n/c) + bn^d$ for constants
$a, b, c, d > 0$,
1. Show that $T(n) = \sum_{i=0}^{k} (\frac{a}{c^d})^i \cdot bn^d$ for all $n = c^k$ With
$k \in \mathbb{N}$ applies.
2. Prove that for $n = c^k$ applies:
$\circ T(n) \leq O(n^d \log n)$, if $a = c^d$
$\circ T(n) \leq O(n^{\log_c a})$, if $a > c^d$
