Given the graph of f(x) shown below, evaluate the following limits, use ±∞ where applicable, or write DNE if the limit does not exist. Be sure to justify your answer.

(a) [tex]\lim_{x \to 1} f(x)[/tex]

(b) [tex]\lim_{x \to 1} [f(x)]^{2}[/tex]

(c) [tex]\lim_{x \to 0^{+} } \frac{2}{f(x)}[/tex]