What is the limit as x approaches 3+of 18ln(x-3) ?

The limit as x approaches 3+of 18ln(x-3) is -infinity

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limit as x approaches 3+of 18ln(x-3)

x \to 3 + lim (18 ln (x - 3))

- \infty

Solution steps

x \to 3 + lim (18 ln (x - 3))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 18 \cdot x \to 3 + lim (ln (x - 3))

Apply the Limit Chain Rule:

- \infty

= 18 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

\frac{d}{d x} (e^{5})

\int \frac{tan ( x )}{x} d x

e^{- t} t^{2}

\int 2 x 2 - x^{2} d x

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

What is the limit as x approaches 3+of 18ln(x-3) ?
The limit as x approaches 3+of 18ln(x-3) is -infinity