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Limit of the function tan(3*x)

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 lim  tan(3*x)
x->-oo

\lim_{x \to -\infty} \tan{\left(3 x \right)}

Limit(tan(3*x), x, -oo)

Lopital's rule

There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type

The graph

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Rapid solution [src]

<-oo, oo>

\left\langle -\infty, \infty\right\rangle

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to -\infty} \tan{\left(3 x \right)} = \left\langle -\infty, \infty\right\rangle

\lim_{x \to \infty} \tan{\left(3 x \right)} = \left\langle -\infty, \infty\right\rangle

\lim_{x \to 0^-} \tan{\left(3 x \right)} = 0

\lim_{x \to 0^+} \tan{\left(3 x \right)} = 0

\lim_{x \to 1^-} \tan{\left(3 x \right)} = \tan{\left(3 \right)}

\lim_{x \to 1^+} \tan{\left(3 x \right)} = \tan{\left(3 \right)}

The graph