Evaluate limit as x approaches 0 of tan(x)

$lim_{x \to 0} \tan (x)$

Move the limit inside the trig function because tangent is continuous.

$\tan (lim_{x \to 0} x)$

Evaluate the limit of $x$ by plugging in $0$ for $x$ .

$\tan (0)$

The exact value of $\tan (0)$ is $0$ .

$0$

Evaluate limit as x approaches 0 of tan(x)

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