What is the limit as x approaches 0 of tan(x) ?

The limit as x approaches 0 of tan(x) is 0

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limit as x approaches 0 of tan(x)

x \to 0 lim (tan (x))

0

Solution steps

x \to 0 lim (tan (x))

Plug in the value

x = 0

= tan (0)

Use the following trivial identity:

tan (0) = 0

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}

= 0

\int_{- \infty}^{- 1} e^{- 30 t} d t

\frac{d}{d x} (\frac{x}{y ^{2} + 1})

\frac{d}{d x} (lo g_{e} (2))

\frac{d ^{2}}{d x ^{2}} (x e^{- \frac{x ^{2}}{2}})

\int x x - 8 d x

What is the limit as x approaches 0 of tan(x) ?
The limit as x approaches 0 of tan(x) is 0