Answer
We can guess here that $$\lim_{x\to0}\frac{1-\cos x}{x\sin x}=0.5$$
Work Step by Step
$$\lim_{x\to0}\frac{1-\cos x}{x\sin x}$$
(a) The graph is shown below.
(b) Looking at the graph, as $x\to0$, we see that $\frac{1-\cos x}{x\sin x}$ approaches as close as $0.5$.
Therefore, we can guess here that $$\lim_{x\to0}\frac{1-\cos x}{x\sin x}=0.5$$
