grandes-ecoles 2022 Q6.8

grandes-ecoles · France · x-ens-maths-d__mp Proof Existence Proof

Show the existence of constants $C_1 > C_2 > 0$ and $R_0 > 0$ such that, for all $R\geq R_0$, $$C_2 e^R \leq |\Gamma(R)| \leq C_1 e^R.$$

Show the existence of constants $C_1 > C_2 > 0$ and $R_0 > 0$ such that, for all $R\geq R_0$,
$$C_2 e^R \leq |\Gamma(R)| \leq C_1 e^R.$$