Let S_ k = _ r=1 ^ k ^ -1 ( 6^ r 2^ 2 r+1 +3^ 2 r+1 ) Then _ k S_ k is equal to
Mathematics · JEE Main · NTA Exams — Progression and Series
\(\text { Let } S_{k}=\sum_{r=1}^{k} \tan ^{-1}\left(\frac{6^{r}}{2^{2 r+1}+3^{2 r+1}}\right)\)
\(\text { Then } \lim _{k \rightarrow \infty} S_{k} \text { is equal to }\)
\(\text { Then } \lim _{k \rightarrow \infty} S_{k} \text { is equal to }\)
- tan–1(3)
Answer
(A)
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