1. Exercice 2.1 page 64 (4pts)
Order the following functions by growth rate:
$N$, $\sqrt{N}$, $N^{1.5}$, $N^2$, $N \log N$, $N \log \log N$, $N \log^2 N$, $N \log N^2$, $\frac{2}{N}$, $2^N$, $2^{N/2}$, $37$, $N^2 \log N$, $N^3$.
Indicate which functions grow at the same rate.