Answer to Question #323347 in Calculus for shaaa

Question

 lim (x²-4)/x-2

s→2

Answer 1

$$\begin{aligned} \lim_{x\rightarrow2}\frac{x^2-4}{x-2}=& \lim_{x\rightarrow2}\frac{(x-2)(x+2)}{x-2}\\ =&\lim_{x\rightarrow2}({x+2})\\ =&2+2\\ \lim_{x\rightarrow2}\frac{x^2-4}{x-2}= &4 \end{aligned}$$