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

The limit as x approaches pi/3 of cot(x)+2 is 1/(sqrt(3))+2

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limit as x approaches pi/3 of cot(x)+2

x \to \frac{π}{3} lim (cot (x) + 2)

\frac{1}{3} + 2

Decimal Notation

2.57735 \dots

Solution steps

x \to \frac{π}{3} lim (cot (x) + 2)

Plug in the value

x = \frac{π}{3}

= cot (\frac{π}{3}) + 2

cot (\frac{π}{3}) = \frac{1}{3}

= \frac{1}{3} + 2

x \to 0 lim (x ln (4 x))

x \to 3 lim (x^{3} - 27)

b \to 0 lim (csc (b) - cot (b))

x \to 0 lim (x ln (6 x))

x \to 0 lim (\frac{cot ( 5 x )}{x})

What is the limit as x approaches pi/3 of cot(x)+2 ?
The limit as x approaches pi/3 of cot(x)+2 is 1/(sqrt(3))+2