Free Unbounded limits: algebraic Practice Problems • Learn To Be

Let

g(x)=\dfrac{x}{\ln(x-2)}

.

Select the correct description of the one-sided limits of $g$ at $x=3$ .

Choose 1 answer:

A
$\displaystyle\lim_{x\to 3^{\large +}}g(x)=+\infty$ and $\displaystyle\lim_{x\to 3^{\large -}}g(x)=+\infty$
B
$\displaystyle\lim_{x\to 3^{\large +}}g(x)=+\infty$ and $\displaystyle\lim_{x\to 3^{\large -}}g(x)=-\infty$
C
$\displaystyle\lim_{x\to 3^{\large +}}g(x)=-\infty$ and $\displaystyle\lim_{x\to 3^{\large -}}g(x)=+\infty$
D
$\displaystyle\lim_{x\to 3^{\large +}}g(x)=-\infty$ and $\displaystyle\lim_{x\to 3^{\large -}}g(x)=-\infty$

Unbounded limits: algebraic