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Question

limxπ4 2-cosec2x1-cot x

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Solution

limxπ4 2-cosec2 x1-cot x=limxπ4 2-1+cot2 x1-cot x=limxπ4 1-cot2 x1-cot x=limxπ4 1-cot x 1+cot x1-cot x=1+cot π4=1+1=2

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