Question

Pls help me with my calc hw :(

Answer 1

D) The limit doesn't exist (DNE)

Explanation:

Notice that as x approaches 0 from the left side of the graph, it does not approach the same limit as when x approaches 0 from the right side. Therefore, since the two-sided limits aren't equal to each other, the overall limit doesn't exist, making D correct.

In other words:

`\displaystyle \lim_(x\rightarrow0^+) h(x)=+\infty\\\\ \lim_(x\rightarrow0^-) h(x)=-\infty\\\\ \lim_(x \to0) h(x)=DNE`