What is the limit as x approaches pi/6 of cot(4x) ?

The limit as x approaches pi/6 of cot(4x) is -(sqrt(3))/3

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limit as x approaches pi/6 of cot(4x)

x \to \frac{π}{6} lim (cot (4 x))

- \frac{3}{3}

Decimal

- 0.57735 \dots

Solution steps

x \to \frac{π}{6} lim (cot (4 x))

Plug in the value

x = \frac{π}{6}

= cot (4 \cdot \frac{π}{6})

Simplify

cot (4 \cdot \frac{π}{6}) : - \frac{3}{3}

= - \frac{3}{3}

What is the limit as x approaches pi/6 of cot(4x) ?
The limit as x approaches pi/6 of cot(4x) is -(sqrt(3))/3