Question
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Dada la función \( g(x)=\left(-4 x^{\wedge} 2+3 x+1\right)^{\wedge} 2, \quad * \) calcular el límite cuando \( x \) se aproxima a -1

Ask by Hodgson Washington. in Mexico
Oct 29,2024

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Answer

El límite de \( g(x) \) cuando \( x \) se aproxima a -1 es 36.

Solution

Calculate the limit \( \lim_{x\rightarrow -1} (-4x^2 + 3x + 1)^2 \). Evaluate the limit by following steps: - step0: Evaluate the limit: \(\lim _{x\rightarrow -1}\left(\left(-4x^{2}+3x+1\right)^{2}\right)\) - step1: Rewrite the expression: \(\left(\lim _{x\rightarrow -1}\left(-4x^{2}+3x+1\right)\right)^{2}\) - step2: Calculate: \(\left(-6\right)^{2}\) - step3: Determine the sign: \(6^{2}\) - step4: Evaluate the power: \(36\) El límite de la función \( g(x) = (-4x^2 + 3x + 1)^2 \) cuando \( x \) se aproxima a -1 es igual a 36.

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