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

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

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limit as x approaches pi/6 of tan(x)

x \to \frac{π}{6} lim (tan (x))

\frac{3}{3}

Decimal Notation

0.57735 \dots

Solution steps

x \to \frac{π}{6} lim (tan (x))

Plug in the value

x = \frac{π}{6}

= tan (\frac{π}{6})

Use the following trivial identity:

tan (\frac{π}{6}) = \frac{3}{3}

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= \frac{3}{3}

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

\frac{d}{d x} (lo g_{e} (x + 1))

(10 - x) y^{2} = x^{3}, (2, 1)

\int \frac{1}{cos ( θ ) - 1} d θ

\frac{d}{d x} (cos (0.5 x))

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