If α and β are the roots of the equation 375 x^2-25 x-2=0, then lim_n → ∞ Σ_r =1^n α^r + lim_n → ∞ Σ_r =1^n β^r is equal to:

If $\displaystyle \alpha$ and $\displaystyle \beta$ are the roots of the equation $\displaystyle 375 x^2-25 x-2=0$, then $\displaystyle \lim _{\mathrm{n} \rightarrow \infty} \sum_{\mathrm{r}=1}^{\mathrm{n}} \alpha^{\mathrm{r}}+\lim _{\mathrm{n} \rightarrow \infty} \sum_{\mathrm{r}=1}^{\mathrm{n}} \beta^{\mathrm{r}}$ is equal to :