For all $n \in \mathbb { N } ^ { * }$, consider the points $a _ { k , n } = \frac { 2 k + 1 } { 2 n }$ for $k \in \llbracket 0 , n - 1 \rrbracket$. Let $\gamma > 0$ be such that $J_\alpha > 0$ for all $\alpha \in ]0, \gamma[$. Show that, for $\alpha \in ] 0 , \gamma [$, the sequence $\left( \left| \prod _ { k = 0 } ^ { n - 1 } \frac { 1 - a _ { k , n } ^ { 2 } } { \alpha ^ { 2 } + a _ { k , n } ^ { 2 } } \right| \right) _ { n \in \mathbb { N } ^ { * } }$ diverges to $+ \infty$.