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Limit of the function log(3*x)

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 lim log(3*x)
x->0+

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

Limit(log(3*x), x, 0)

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

Plot the graph

One‐sided limits [src]

 lim log(3*x)
x->0+

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

-oo

-\infty

= -7.76611533492614

 lim log(3*x)
x->0-

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

-oo

-\infty

= (-7.76611533492614 + 3.14159265358979j)

= (-7.76611533492614 + 3.14159265358979j)

Rapid solution [src]

-oo

-\infty

Expand and simplify

Other limits x→0, -oo, +oo, 1

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

\lim_{x \to 0^+} \log{\left(3 x \right)} = -\infty

\lim_{x \to \infty} \log{\left(3 x \right)} = \infty

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

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

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

Numerical answer [src]

-7.76611533492614

-7.76611533492614

The graph