Question

Calcule $\lim_{x \to \ -3/2} \frac{6x^{2} +11x+3}{2 x^{2} -5x-12}$

Answer 1

Deriva o numerador e denominador

$\lim_{x \to- \frac{3}{2} } \frac{12x+11}{4x-5}$

$\boxed{ \lim_{x \to- \frac{3}{2} } \frac{12(- \frac{3}{2} )+11}{4(- \frac{3}{2} )-5} = \frac{-7}{-11} ~\to~ \frac{7}{11} }$