Question

Find the limit of the function algebraically.

limit as x approaches negative two of quantity x squared minus four divided by quantity x plus two.

Answer 1

Answer:

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

Step-by-step explanation:

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