If α and β are the roots of the equation 375 x 2 - 25x - 2 = 0, then _ n r=1 _ n r=1 ^ n…
Mathematics · JEE Main · NTA Exams — Progression and Series
If α and β are the roots of the equation 375 x2 - 25x - 2 = 0, then \(\lim _{n \rightarrow \infty r=1} \sum_{n \rightarrow \infty r=1}^{n} \pi^{r}+\lim _{n \rightarrow \infty} \sum_{n \rightarrow \infty}^{n} \beta^{r}\) is equal to:
- \(\frac{7}{116}\)
- \(\frac{29}{358}\)
- \(\frac{1}{12}\)
- \(\frac{21}{346}\)
Answer
(C) 1 12
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