When Limits Don't Exist Practice Problems Online

The graph of $y = f (x)$ is pictured above. For which values of $a$ in $\{0, 1, 2\}$ does $\lim_{x \to a} f(x)$ exist?

a = 0 \text{ only}

a = 0 \text{ and } a = 1 \text{ only}

a = 0, a= 1, \text{ and } a =2

Based on the graphs, which limit diverges to $\infty$ as $x \to 0?$

\lim_{x \to 0} f(x) = \infty

\lim_{x \to 0} g(x) = \infty

$\lim_{x \to a} \frac{1}{x^2} = \text{ a (finite) number}$

For which choice of $a$ is the above statement true?

Which option is true of $A = \lim_{x \to \infty} \sin\left(x\right)?$

A = \text{ a finite number}

A = \infty

A = -\infty

文本\{以上}

$A = \lim_{x \to 0} \frac{x}{x}, \,\,\,\,\,B = \lim_{x \to 0} \frac{|x|}{x}$

Which limit(s) exist(s)?

\text{ Neither A nor B}

\text{A only}

\text{B only}

\text{Both A and B}

When Limits Don't Exist