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Let a_1=1,\,a_2,\,a_3,\,a_4,\ldots be consecutive natural numbers. Then \tan^-1\!\left(\dfrac11+a_1a_2\right)+\tan^-1\!\left(\dfrac11+a_2a_3\right)+*s+\tan^-1\!\left(\dfrac11+a_2021a_2022\right) is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.