Root 3 sinx-cosx/x-pi/6 limit x tends to pi/6 pls ans soon tom exam

Dear student,

     limxπ63sinx-cosxx-π6=2limxπ6 sin x . 32 - cos x . 12x - π6=2limxπ6sin x.  cosπ6-cosx . sinπ6x-π6=2limxπ6sinx-π6x-π6Put x - π6 = yas xπ6; y0Now, 2 limy0sin yy=2 × 1=2

Regards

  • 71
rationalise them and get the answer
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