Автор - monolit75mail

Помогите решить!!!!!!!

Ответ

Автор - CrafterKolyan

Ответ:

dfrac{1}{sqrt{e^9}}

Пошаговое объяснение:

limlimits_{n to infty} left( dfrac{2n}{2n - 3} right) ^ {2 - 3n} = limlimits_{n to infty} left( left( 1 + dfrac{3}{2n - 3} right) ^ {dfrac{2n - 3}{3}} right) ^ {dfrac{(2 - 3n) * 3}{2n - 3}} = \limlimits_{n to infty} e^{dfrac{(2 - 3n) * 3}{2n - 3}} = limlimits_{n to infty} e^{left(dfrac{dfrac{6}{n} - 9} {2 - dfrac{3}{n}} right)} = \limlimits_{n to infty} e^{-dfrac{9}{2}} = dfrac{1}{sqrt{e^9}}

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