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Home » Find $ \lim_n \to \infty a_n $. - High Altitude Science

Find $ \lim_n \to \infty a_n $. - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Pregunta: Si $x + y = 5$ y $xy = 6$, encuentra el valor de $x^2 + y^2$.

📌 Usamos la identidad:

📌 x^2 + y^2 = (x + y)^2 - 2xy

📌 Sustituyendo los valores dados:

📌 x^2 + y^2 = 5^2 - 2 \times 6 = 25 - 12 = 13

📌 Por lo tanto, el valor de $x^2 + y^2$ es $\boxed{13}$.

📌 Pregunta: Si $a + b = 7$ y $ab = 10$, encuentra $a^3 + b^3$.

📌 a^3 + b^3 = (a + b)^3 - 3ab(a + b)

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