Let S_{n}=\cot ^{-1} 2+\cot ^{-1} 8+\cot ^{-1} 18+\cot ^{-1} 32 +...... . to n^{\text{th }} term. Then \lim_{n \\to\infty} S_{n} is

WBJEE 2021 Math Solved Paper

CATEGORY - I (Q:1 to Q50)

Carry 1 mark each and only one option is correct. In case of incorrect answer or any combination of more than one answer, ¼ mark will be deducted.

Question : 24 of 75

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Let Sn=cot−12+cot−18+cot−118+cot−132 +....... to nth term. Then

lim

n→∞

Sn is

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