Question Number 8175 by prakash jain last updated on 02/Oct/16
$$\mathrm{Prove} \\ $$$$\frac{\mathrm{4}^{{n}} }{{n}}<\:^{\mathrm{2}{n}} {C}_{{n}} \:\mathrm{for}\:\mathrm{all}\:{n}\geqslant\mathrm{4}\:\mathrm{and}\:{n}\in\mathbb{Z}^{+} \\ $$
Prove-4-n-n-lt-2n-C-n-for-all-n-4-and-n-Z-