Let $Z$ be a complex number such that $|Z|+Z=2+i$ (where $i=\sqrt{-1})$, then $|Z|$ is equal to

_________ numbers greater than a million can be formed with the digits 2, 3, 0, 3, 4, 2, 3.

For the following shaded region, the linear constraints are

$$\lim _\limits{x \rightarrow 2}\left(\frac{5^x+5^{3-x}-30}{5^{3-x}-5^{\frac{x}{2}}}\right)=$$