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

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)

                                   =2(ans)

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