If cot$-$1($\alpha$) = cot$-$1 2 + cot$-$1 8 + cot$-$1 18 + cot$-$1 32 + ...... upto 100 terms, then $\alpha$ is :

Question

If cot^$-$1($\alpha$) = cot^$-$1 2 + cot^$-$1 8 + cot^$-$1 18 + cot^$-$1 32 + ...... upto 100 terms, then $\alpha$ is :

1.02

1.03

1.01

1.00

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