1.
The value of limn[x]+[22x]+[32x]++[n2x]12+22+32++n2\displaystyle\lim_{n\to\infty}\frac{[x]+[2^2x]+[3^2x]+\ldots+[n^2x]}{1^2+2^2+3^2+\ldots+n^2} is equal to (where [x][x] represents GIF)