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

Question

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

Lovina Kansal · Accepted Answer

Dear student,

limx→π63sinx-cosxx-π6=2limx→π6 sin x 
 32 - cos x 
 12x - π6=2limx→π6sin x
  cosπ6-cosx 
 sinπ6x-π6=2limx→π6sinx-π6x-π6Put x - π6 = yas x→π6; y→0Now, 2 limy→0sin yy=2 × 1=2

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