In Exercises 31 and 32, the graph of a function is given.
Chapter 10, Problem 10.1.1.184(choose chapter or problem)
In Exercises 31 and 32, the graph of a function \(y=f(x)\) is given. Which of the statements about the function are true and which are false?
\(\begin{array}{l}\text{(a) } \lim _{x \rightarrow-1^{+}} f(x)=1\\\text{(b) } \lim _{x \rightarrow 2} f(x) \text{ does not exist}\\\text{(c) } \lim _{x \rightarrow 2} f(x)=2\\\text{(d) } \lim _{x \rightarrow 1^{-}} f(x)=2\\\text{(e) } \lim _{x \rightarrow 1^{+}} f(x)=1\\\text{(f) } \lim _{x \rightarrow 1} f(x) \text{ does not exist}\\\text{(g) } \lim _{x \rightarrow 0^{+}} f(x)=\lim _{x \rightarrow 0^{-}} f(x)\\\text{(h) } \lim _{x \rightarrow c} f(x) \text{ exists for every } c \text{ in } (-1,1) \text{.}\\\text{(i) } \lim _{x \rightarrow c} f(x) \text{ exists for every } c \text{ in } (1,3) \text{.}\end{array}\)
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