Order 7 of the following sentences so that they form a logical direct proof of the statement:

Choose from these sentences:
1. Assume $0<|x-4|<\delta$
2. Assume $|x-4|<\delta$ and $| (x^2) - 16 | \leq \epsilon$
3. There is no limit.
4. $|x-4| | x+4 | < \frac{\epsilon}{10}(10) = \epsilon$
5. Choose $\delta>0$ so that $\delta<\frac{\epsilon}{10}$ and $\delta< 2$.
6. Then $|x-4|<\delta$
7. $\delta < 2 \implies \\ 0 < x+4 < 8 + \delta < 8 + 2$
8. Therefore, $\displaystyle{\lim_{x \rightarrow 4} (x^2) = 16}.$
9. $8 - \delta < x+4 < 8 + \delta$
10. Use Wolfram-Alpha to figure this out.
11. Assume $| (x^2) - 16 | \leq \epsilon$.
12. Suppose $\epsilon>0$