Proof of Theorem 3.1, p. 13 — $c_1(n)\ell^{2n} \le \frac{(\ell+n)!}{(\ell-n)!} \le c_2(n)\ell^{2n}$ for $n \le \ell$

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Proof of Theorem 3.1, p. 13 — $c_1(n)\ell^{2n} \le \frac{(\ell+n)!}{(\ell-n)!} \le c_2(n)\ell^{2n}$ for $n \le \ell$ · Prove2Me