grandes-ecoles 2024 Q35

grandes-ecoles · France · x-ens-maths-d__mp Sequences and Series Recurrence Relations and Sequence Properties

Deduce that there exists an integer $k_0$ such that $$v_n(k) = 0 \text{ for all } k \geq k_0 \text{ and } kr \leq n \leq 10kr.$$

Deduce that there exists an integer $k_0$ such that
$$v_n(k) = 0 \text{ for all } k \geq k_0 \text{ and } kr \leq n \leq 10kr.$$