Respuesta :

Answer:

 i) [tex]$\lim_{x\to\hspace{0.1cm}-2} \frac{(x^{2} - 4)}{x + 2} $[/tex]  [tex]= \hspace{0.1cm} $\lim_{x\to\hspace{0.1cm}-2} \frac{(x-2)(x+2)}{x + 2} $[/tex] [tex]= \hspace{0.1cm} $\lim_{x\to\hspace{0.1cm}-2} (x-2) $[/tex] = -2 -2  = -4

Step-by-step explanation:

 i) [tex]$\lim_{x\to\hspace{0.1cm}-2} \frac{(x^{2} - 4)}{x + 2} $[/tex]  [tex]= \hspace{0.1cm} $\lim_{x\to\hspace{0.1cm}-2} \frac{(x-2)(x+2)}{x + 2} $[/tex] [tex]= \hspace{0.1cm} $\lim_{x\to\hspace{0.1cm}-2} (x-2) $[/tex] = -2 -2  = -4