r=1∑∞tan−1(r2+5r+71) equal to

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^{}_{r=1}^{-1}( {1}{r^{2}+5r+7}) equal to

Question

$r = 1 \sum \infty tan^{- 1} (\frac{1}{r ^{2} + 5 r + 7})$ equal to

tan^{- 1} 3

\frac{3 π}{4}

sin^{- 1} \frac{1}{10}

cot^{- 1} 2

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r = 1 \sum \infty tan^{- 1} (\frac{1}{r ^{2} + 5 r + 7})

equal to

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Question Text

r = 1 \sum \infty tan^{- 1} (\frac{1}{r ^{2} + 5 r + 7})

equal to