Given-f-x-2-3-cos-x-sin-x-6x-pi-2-Find-lim-x-pi-6-f-x-

Question Number 126744 by bemath last updated on 24/Dec/20

G i v e n f (x) = \frac{2 - \sqrt{3} \cos x - \sin x}{{(6 x - π)}^{2}}

F i n d \lim_{x \to \frac{π}{6}} f (x) .

Answered by liberty last updated on 24/Dec/20

\lim_{x \to π / 6} \frac{\sqrt{3} \sin x - \cos x}{12 (6 x - π)} = \lim_{x \to π / 6} \frac{\sqrt{3} \cos x + \sin x}{72}

= \frac{\sqrt{3} \cos (\frac{π}{6}) + \sin (\frac{π}{6})}{72} = \frac{\frac{3}{2} + \frac{1}{2}}{72} = \frac{1}{36}

Answered by bemath last updated on 24/Dec/20

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