4. Compare the numbers

$$
\left(1+\frac{1}{1755}\right)\left(1+\frac{1}{1756}\right) \ldots\left(1+\frac{1}{2015}\right) \text { and } \sqrt{\frac{8}{7}} .
$$

Indicate in the answer "1" if the first number is greater; "2", if the second number is greater; "0", if the numbers are equal.
Answer: The first is greater

Solution: (Solution: on the left, bring each parenthesis to a common denominator, use the inequality $\frac{n \cdot n}{(n-1)(n+1)}>1$ and we get that the square of the first number is greater than $\frac{2015}{1755}=\frac{31}{27}>\frac{8}{7$.)