Υπολογισμός ορίου

Να δειχθεί οτι:

\lim_{x\rightarrow +\propto }(1+\frac{1}{x})^x=\lim_{x\rightarrow 0 }(1+x)^\frac{1}{x}

και να υπολογιστουν τα ορια.

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