Let F be the function below

(Click on graph to enlarge)

Evaluate the following expressions.

Note: Enter 'DNE' if the limit does not exist or is not defined.
You can just write 'yes' or 'no' for the yes/no questions.

a) $\displaystyle \lim_{x \to 1} F(x)$ =   b) Is $F(x)$ continuous at $x=1$

c) $\displaystyle \lim_{x \to 2} F(x)$ =   d) Is $F(x)$ continuous at $x=2$

e) $\displaystyle \lim_{x \to 3} F(x)$ =   f) Is $F(x)$ continuous at $x=3$