grandes-ecoles 2024 Q26

grandes-ecoles · France · x-ens-maths-d__mp Sequences and series, recurrence and convergence Coefficient and growth rate estimation

Show that there exists a real number $c_1 > 0$ such that: for all $n \geq 0$, $$|v_n| \leq c_1 \frac{A^{n+1}}{n+1}.$$

Show that there exists a real number $c_1 > 0$ such that: for all $n \geq 0$,
$$|v_n| \leq c_1 \frac{A^{n+1}}{n+1}.$$