grandes-ecoles 2024 Q34

grandes-ecoles · France · x-ens-maths-d__mp Sequences and Series Proof of Inequalities Involving Series or Sequence Terms

Show that if $v_n(k)$ is non-zero and $n \geq kr$, then $$k! \leq |D^n v_n(k)| \leq c_2 (AD)^n C^k.$$

Show that if $v_n(k)$ is non-zero and $n \geq kr$, then
$$k! \leq |D^n v_n(k)| \leq c_2 (AD)^n C^k.$$