Question 53
Find
$$
\frac{2^{2}}{2^{2}-1} \cdot \frac{3^{2}}{3^{2}-1} \cdot \frac{4^{2}}{4^{2}-1} \cdots \frac{2006^{2}}{2006^{2}-1}
$$
$$
\frac{2^{2}}{2^{2}-1} \cdot \frac{3^{2}}{3^{2}-1} \cdot \frac{4^{2}}{4^{2}-1} \cdots \frac{2006^{2}}{2006^{2}-1}
$$