1.
If α\alpha and β\beta are the roots of the equation 375x225x2=0375x^2 - 25x - 2 = 0, then
limnr=1nαr+limnr=1nβr\lim_{n \to \infty} \sum_{r=1}^{n} \alpha^r + \lim_{n \to \infty} \sum_{r=1}^{n} \beta^r

is equal to: