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13.
Approximating the powers with large exponents and bases close to unit, and the associated sequence of nested limits
Lampret, Vito
Natančno je ocenjena hitrost konvergence ▫$\underset{|t| \to\infty}{\lim} \left( 1+\frac{x}{t}\right) ^{t}$▫ in vpeljano je prirejeno zaporedje vgnezdenih limit, začenši z limito ▫$$\lim_{t ...\rightarrow \infty} \left[t \cdot\left(\left(1+\frac{x}{t}\right)^{t} -e^x \right)\right] = -\frac{1}{2}\,e^{x}x^2.$$▫
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