Question

Найти предел от (n / (n+1))^2 при n стремящимся к бесконечности

Answer 1

$lim_{n to infty} frac{n^2}{n^2+2n+1} = lim_{n to infty} frac{n^2}{n^2(1+ frac{2}{n} + frac{1}{n^2} )} = lim_{n to infty} frac{1}{1+ frac{2}{n} + frac{1}{n^2}} =1$