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Evaluate each expression using the given graph of $f(x)$.
Enter DNE if the limit or value does not exist.

If you are having a hard time seeing the picture clearly, click on the picture. It will expand to a larger picture on its own page so that you can inspect it more clearly.

a) $\displaystyle \lim_{x \to 1^{-}}f(x) =$

b) $\displaystyle \lim_{x \to 1^{+}}f(x) =$

c) $\displaystyle \lim_{x \to 1}f(x) =$

d) $\displaystyle \lim_{x \to -1^{-}}f(x) =$

e) $\displaystyle \lim_{x \to -1^{+}}f(x) =$

f) $\displaystyle \lim_{x \to -1}f(x) =$

In problems g-i, assume $a$ is an integer such that $-3 \leq a \leq 3$.

d) $\displaystyle \lim_{x \to a^{-}}f(x) =$

e) $\displaystyle \lim_{x \to a^{+}}f(x) =$

f) $\displaystyle \lim_{x \to a}f(x) =$

Your overall score for this problem is