January 2019 1 105 Report
Gdzie tu jest blad? chodzi o granice. jaka jest waszym zdaniem odp??
(\frac{2n-1}{2n+3})^{3n-2}=(\frac{2n+3-4}{2n+3})^{3n-2}=(1+\frac{(-4)}{2n+3})^{3n-2}\\  =(1+\frac{(-4)}{n+\frac{3}{2}})^{3n}*(1+\frac{(-4)}{n+\frac{3}{2}})^{-2}\\
=[(1+\frac{(-4)}{n+\frac{3}{2}})^n]^3*[(1+\frac{(-4)}{n+\frac{3}{2}})]^{-2}\\  =[(1+\frac{(-4)}{n+\frac{3}{2}})^{n+\frac{3}{2}}*(1+\frac{(-4)}{n+\frac{3}{2}})^{(-\frac{3}{2})}]^3*(1+\frac{(-4)}{n+\frac{3}{2}})]^{-2}=e^{-12}
czy tak? bo w odpowiedziach mam inny wynik
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