(Solved): [4 pts ] Consider the following graph of a function and answer the following questions. (a) Which o ...

[4 pts ] Consider the following graph of a function and answer the following questions. (a) Which of the following limits exist? \( \lim _{x \rightarrow-2} f(x), \lim _{x \rightarrow 0} f(x), \lim _{x \rightarrow 1} f(x) \). (b) Which of the following equalities hold true? \( \lim _{x \rightarrow-2} f(x)=f(-2), \lim _{x \rightarrow 0} f(x)=f(0), \lim _{x \rightarrow 1} f(x)=f(1) \). (c) Which of the following equalities hold true? \[ \lim _{x \rightarrow-2^{+}} f(x)=f(-2), \lim _{x \rightarrow 0^{+}} f(x)=f(0), \lim _{x \rightarrow 1^{+}} f(x)=f(1) . \] (d) Find \( \lim _{x \rightarrow-2^{+}} f(x), \lim _{x \rightarrow 0^{+}} f(x), \lim _{x \rightarrow 1^{+}} f(x) \).