Let ${S}_{k}=\sum _{r=1}^{k}{\tan }^{-1}\left(\frac{{6}^{r}}{{2}^{2r+1}+{3}^{2r+1}}\right)$ Then $\lim _{k\to \infty }{S}_{k}$ is equal to: [JEE Main 2021, 16 Mar (Shift 1)]

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Let \({S}_{k}=\sum _{r=1}^{k}{\tan }^{-1}\left(\frac{{6}^{r}}{{2}^{2r+1}+{3}^{2r+1}}\right)\) Then \(\lim _{k\to \infty …

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