What is the limit as x approaches pi/6 of cot(2x) ?

The limit as x approaches pi/6 of cot(2x) is (sqrt(3))/3

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limit as x approaches pi/6 of cot(2x)

x \to \frac{π}{6} lim (cot (2 x))

\frac{3}{3}

Decimal

0.57735 \dots

Solution steps

x \to \frac{π}{6} lim (cot (2 x))

Plug in the value

x = \frac{π}{6}

= cot (2 \cdot \frac{π}{6})

Simplify

cot (2 \cdot \frac{π}{6}) : \frac{3}{3}

= \frac{3}{3}

What is the limit as x approaches pi/6 of cot(2x) ?
The limit as x approaches pi/6 of cot(2x) is (sqrt(3))/3