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Question

limxπ4sec2x2tanx1

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Solution

limxπ41+tan2x2tanx1 where sec2x=1+tan2x
=limxπ4tan2x1tanx1
=limxπ4(tanx1)(tanx+1)tanx1
=limxπ4(tanx+1)
=tanπ4+1
=1+1=2

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