Answer
We can guess that $$\lim_{x\to2}\frac{x^4-16}{x-2}=32$$
Work Step by Step
$$\lim_{x\to2}\frac{x^4-16}{x-2}$$
(a) The graph is shown below.
(b) Looking at the graph, as $x\to2$, we see that $\frac{x^4-16}{x-2}$ approaches as close as $32$.
Therefore, we can guess here that $$\lim_{x\to2}\frac{x^4-16}{x-2}=32$$
