The value of lim x→tan -1 3 tan 2 x - 2tanx - 3 / tan 2 x - 4tanx + 3 is :

The value of limx→tan-13 tan2x - 2tanx - 3 / tan2x - 4tanx + 3 is :

Grade:Upto college level

1 Answers

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
14 years ago

Dear Mainak,

Ans:- Let tanx=z

Hence the limit becomes Lt z→3    (z² - 2z -3)/(z²-4z+3)

                                  =Lt z→3   (z-3)(z+1)/(z -3)(z - 1)

                                   =Lt z→3   (z+1)/(z-1)


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