Free Unbounded limits: algebraic Practice Problems • Learn To Be

Let

f(x)=\dfrac{x}{1-\cos(x-2)}

.

Select the correct description of the one-sided limits of $f$ at $x=2$ .

Choose 1 answer:

A
$\displaystyle\lim_{x\to 2^{\large +}}f(x)=+\infty$ and $\displaystyle\lim_{x\to 2^{\large -}}f(x)=+\infty$
B
$\displaystyle\lim_{x\to 2^{\large +}}f(x)=+\infty$ and $\displaystyle\lim_{x\to 2^{\large -}}f(x)=-\infty$
C
$\displaystyle\lim_{x\to 2^{\large +}}f(x)=-\infty$ and $\displaystyle\lim_{x\to 2^{\large -}}f(x)=+\infty$
D
$\displaystyle\lim_{x\to 2^{\large +}}f(x)=-\infty$ and $\displaystyle\lim_{x\to 2^{\large -}}f(x)=-\infty$

Unbounded limits: algebraic