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Granicę równą e ma ciąg o wyrazie ogólnym
(1+\sin \frac{1}{n})^{\frac{1}{\sin \frac{1}{n}}}
\sqrt[n]{e^n+n}
(1-\frac{1}{n})^n
(1+\cos \frac{1}{n})^{\frac{1}{\cos \frac{1}{n}}}
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