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Question-93824




Question Number 93824 by student work last updated on 15/May/20
Answered by john santu last updated on 15/May/20
lim_(t→0)  lny = lim_(t→0)  tan (3t+(π/2))ln(tan (((3t)/2)+(π/4)))  = lim_(t→0)  ((ln(tan (((3t)/2)+(π/4))))/(cot (3t+(π/2))))  = lim_(t→0)  ((ln(tan (((3t)/2)+(π/4))))/(−tan 3t))  now easy to solve
limt0lny=limt0tan(3t+π2)ln(tan(3t2+π4))=limt0ln(tan(3t2+π4))cot(3t+π2)=limt0ln(tan(3t2+π4))tan3tnoweasytosolve

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