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(eroare: eq.0/48649)\[\text{Determina\t i limita \s irului }~{{a}_{n}}=\frac{C_{4\,n}^{\,2\,n}}{{{4}^{n}}\ C_{2\,n}^{\,n}}\ ,\ \ \ n\in {{\mathbf{N}}^{*}}\]
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$\text{Dup }\!\!\breve{\mathrm{a}}\!\!\text{ fiecare factor al lui }{{\text{a}}_{n}}\text{ am intercalat factorul lips }\!\!\breve{\mathrm{a}}\!\!\text{ astfel }\!\!\hat{\mathrm{i}}\!\!\text{ nc }\!\!\hat{\mathrm{a}}\!\!\text{ t s }\!\!\breve{\mathrm{a}}\!\!\text{ obtinem un produs telescopic }\!\!\hat{\mathrm{i}}\!\!\text{ n produsul }{{a}_{n}}\cdot {{b}_{n}}$
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(eroare: eq.0/48652)$\text{Dup }\!\!\breve{\mathrm{a}}\!\!\text{ fiecare factor al lui }{{\text{a}}_{n}}\text{ am intercalat factorul lips }\!\!\breve{\mathrm{a}}\!\!\text{ astfel }\!\!\hat{\mathrm{i}}\!\!\text{ nc }\!\!\hat{\mathrm{a}}\!\!\text{ t s }\!\!\breve{\mathrm{a}}\!\!\text{ obtinem un produs telescopic }\!\!\hat{\mathrm{i}}\!\!\text{ n produsul }{{a}_{n}}\cdot {{b}_{n}}$
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(eroare: eq.0/48653)$\text{Dupa fiecare factor al lui }{{\text{a}}_{n}}\text{ am intercalat factorul lipsa astfel incat sa obtinem un produs telescopic in produsul }{{a}_{n}}\cdot {{b}_{n}}$
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(eroare: eq.0/48654)$\text{Dupa fiecare factor al lui }{{a}_{n}}\text{ am intercalat factorul lipsa astfel incat sa obtinem un produs telescopic in produsul }{{a}_{n}}\cdot {{b}_{n}}$
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(eroare: eq.0/48655)\text{Dupa fiecare factor al lui }{{a}_{n}}\text{ am intercalat factorul lipsa astfel incat sa obtinem un produs telescopic in produsul }{{a}_{n}}\cdot {{b}_{n}}
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$\text{Dupa fiecare factor al lui }{{a}_{n}}\text{ am intercalat factorul lipsa astfel incat sa obtinem un produs telescopic in produsul }{{a}_{n}}\cdot {{b}_{n}}$
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