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

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

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limit as x approaches pi/3 of tan(x)

x \to \frac{π}{3} lim (tan (x))

3

Decimal Notation

1.73205 \dots

Solution steps

x \to \frac{π}{3} lim (tan (x))

Plug in the value

x = \frac{π}{3}

= tan (\frac{π}{3})

Use the following trivial identity:

tan (\frac{π}{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}

= 3

\frac{d}{d x} (a x e^{x} + a e^{x})

\frac{d}{d x} (- 3 x^{4} + 4 x^{3} + 2)

\int 3 e^{- s t} d t

\int - 3 cos (5 x) d x

f (x) = 16 x^{\frac{1}{8}}

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