Consider the function $f(x)$ defined by the following graph:

a$)\underset{x-2}{lim}f(x)$

b$)\underset{x-1}{lim}f(x)$

c$)\underset{x1}{lim}f(x)$

d$)\underset{x3}{lim}f(x)$

e$)$ Is the function continuous at $x=1?$ Justify