(Solved): Use the following function and its graph to answer parts (a) through (d) below. Let f(x)= ...

Use the following function and its graph to answer parts (a) through (d) below. Let $$f(x)=?\begin{array}{ll}5?x,& x<3\\ 3,& x=3\\ \frac{2x}{3},& x>3\end{array}$$ c. Find $$\lim f(x)$$. Select the correct choice below and, if necessary, fill in the answer box in your choice. $$x?1^{+}$$ A. $$\underset{x?1^{+}}{\lim }f(x)=$$ (Simplify your answer.) B. The limit does not exist. Find $$\underset{x?1}{\lim }f(x)$$. Select the correct choice below and, if necessary, fill in the answer box in your choice. A. $$\underset{x?1^{?}}{\lim }f(x)=$$ (Simplify your answer.) B. The limit does not exist. d. Does $$\underset{x?1}{\lim }f(x)$$ exist? If so, what is it? If not, why not? A. No, $$\lim f(x)$$ does not exist because $$f(1)$$ is undefined.