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Actividad 2. Determinar: \( \lim _{x \rightarrow 1}\left(5 x^{2}+9 x\right) \)

Ask by Herrera Simpson. in Ecuador
Mar 14,2025

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El límite es 14.

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Para encontrar el límite \( \lim _{x \rightarrow 1}\left(5 x^{2}+9 x\right) \), simplemente sustituimos \( x \) por 1 en la expresión: \[ 5(1)^{2} + 9(1) = 5(1) + 9 = 5 + 9 = 14. \] Así que, \( \lim _{x \rightarrow 1}\left(5 x^{2}+9 x\right) = 14 \). Un truco útil es recordar que para funciones polinómicas, el límite en un punto corresponde al valor de la función en ese punto, siempre que no haya indeterminaciones. ¡Eso hace que calcular límites de polinomios sea bastante sencillo!

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