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Evaluate the given limits using the graph of the function $f(x) = \displaystyle \frac{3}{e^x + 1}$ shown above.
Enter INF for $\infty$, -INF for $-\infty$, or DNE if the limit does not exist, but is neither $\infty$ nor $-\infty$.

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a) $\displaystyle \lim_{x \to -\infty} f(x)$ =
b) $\displaystyle \lim_{x \to \infty} f(x)$ =
c) $\displaystyle \lim_{x \to 0^-} f(x)$ =
d) $\displaystyle \lim_{x \to 0^+} f(x)$ =
e) $\displaystyle \lim_{x \to 0} f(x)$ =