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Question Number 24404 by moxhix last updated on 17/Nov/17

put a_n = (1/(2n))∙(3/(2n))∙(5/(2n))∙ ... ∙((2n−1)/(2n))∙e^n   lim_(n→∞) a_n = ?

$${put}\:{a}_{{n}} =\:\frac{\mathrm{1}}{\mathrm{2}{n}}\centerdot\frac{\mathrm{3}}{\mathrm{2}{n}}\centerdot\frac{\mathrm{5}}{\mathrm{2}{n}}\centerdot\:...\:\centerdot\frac{\mathrm{2}{n}−\mathrm{1}}{\mathrm{2}{n}}\centerdot{e}^{{n}} \\ $$$$\underset{{n}\rightarrow\infty} {{lim}a}_{{n}} =\:? \\ $$$$ \\ $$

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