What is the limit as x approaches pi/3 of 1/(cot(x)) ?

The limit as x approaches pi/3 of 1/(cot(x)) is square root of 3

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limit as x approaches pi/3 of 1/(cot(x))

x \to \frac{π}{3} lim (\frac{1}{cot ( x )})

3

Decimal Notation

1.73205 \dots

Solution steps

x \to \frac{π}{3} lim (\frac{1}{cot ( x )})

Plug in the value

x = \frac{π}{3}

= \frac{1}{cot ( \frac{π}{3} )}

Simplify

\frac{1}{cot ( \frac{π}{3} )} : 3

= 3

x^{2} + 4 x + 8

\frac{\partial}{\partial x} (x^{2} + yz)

x \frac{d y}{d x} + \frac{y ^{2}}{x} = y

\frac{\partial}{\partial y} (3 x^{2} y^{2} - 3)

\int_{1}^{7} 3 x^{2} + \frac{1}{12 x ^{2}} d x

What is the limit as x approaches pi/3 of 1/(cot(x)) ?
The limit as x approaches pi/3 of 1/(cot(x)) is square root of 3