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Is there a number a such that the following limit exists? (If an answer does not exist, enter DNE.) lim x→−2 4x2 + ax + a + 12x2 + x − 2 Find the value a.

Question

Is there a number a such that the following limit exists? (If an answer does not exist, enter DNE.) lim x→−2 4x2 + ax + a + 12x2 + x − 2 Find the value a.
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Solution 1

Para encontrar el valor de a a tal que el límite exista, primero debemos analizar la expresión dada:

lim⁡x→−24x2+ax+a+12x2+x−2 \lim_{x \to -2} \frac{4x^2 + ax + a + 1}{2x^2 + x - 2}

Primero, evaluamos el denominador en x=−2 x = -2 :

2(−2)2+(−2)−2=2(4)−2−2=8−2−2=4 2(-2)^2 + (-2) - 2 = 2(4) - 2 - 2 = 8 - 2 - 2 = 4

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Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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