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Question

limxπ4cosec2x2cotx1

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Solution

limxπ4cosec2x2cotx1

=limxπ4cot2x+12cotx1

=limxπ4cot2x1cotx1

=limxπ4(cotx1)(cotx+1)(cotx1)

=limxπ4(cotx+1)

=cotπ4+1

=1+1=2


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