The value of $\frac{1}{2+\frac{1}{2+\frac{1}{2-\frac{1}{2}}}}$ is

The value of $\left\{\left(\sqrt[n]{x^{2}}\right)^{n / 2}\right\}^{2}$ is

When simplified,the value of the product $\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right) \ldots\left(1-\frac{1}{n}\right)$ equals

For what value of $N$ will $270N$ be a perfect square,where $270N$ is a $4$-digit number?

The value of $\frac{3}{1^{2} \cdot 2^{2}}+\frac{5}{2^{2} \cdot 3^{2}}+\frac{7}{3^{2} \cdot 4^{2}}+\frac{9}{4^{2} \cdot 5^{2}}+\frac{11}{5^{2} \cdot 6^{2}}+\frac{13}{6^{2} \cdot 7^{2}}+\frac{15}{7^{2} \cdot 8^{2}}+\frac{17}{8^{2} \cdot 9^{2}}+\frac{19}{9^{2} \cdot 10^{2}}$ is

$\frac{0.009}{?} = 0.01$