Solve limx -6-3sin x - cos xx - -6

lim_x→π6√(3)sin x cos xx x6 |00 from lim_x→π6√(3)cos x+sin x1 (Applying L' Hospital's Rule) =√(3).√(3)2+12=32+12=42=2 ...

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Substitution Method to Remove Indeterminate Form

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Question

Solve $lim x \to \frac{π}{6} \frac{\sqrt{3} sin x - cos x}{x - \frac{π}{6}}$

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lim x \to \frac{π}{6} ⎛ ⎜ ⎜ ⎝ \frac{\sqrt{3} sin x - cos x}{x - \frac{π}{6}} ⎞ ⎟ ⎟ ⎠

{lim}_{x \to \frac{π}{6}} \frac{\sqrt{3} s i n x - c o s x}{x - \frac{π}{6}}

f (x) = 1 + x + \frac{x^{2}}{2} + . . . + \frac{x^{100}}{100},

lim x \to \frac{π}{6}

(\frac{3 sin x - \sqrt{3} cos x}{6 x - π})

{lim}_{x \to \frac{π}{6}} (\frac{3 sin x - \sqrt{3} cos x}{6 x - π})

lim x \to \frac{5 π}{6} \frac{c o s x - \sqrt{3} s i n x}{π - 6 x}

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