Question 1
Given that $A=\displaystyle\lim_{n\to\infty}\frac{\sum_{r=n}^{2n}r^2}{\sum_{r=1}^{n}r^2}$, find the value of $\lfloor A\rfloor$.
(Note: If you think that the limit is infinity, enter your answer as 9999.)
(Note: If you think that the limit is infinity, enter your answer as 9999.)