Evaluate the given limits using the graph of the function f(x) = 2/(e^x + 1) shown above. Enter INF for ∞, -INF for -∞, or DNE if the limit does not exist, but is neither ∞ nor -∞.
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a) lim_{x→-∞} f(x) =
b) lim_{x→∞} f(x) =
c) lim_{x→0^-} f(x) =
d) lim_{x→0^+} f(x) =
e) lim_{x→0} f(x) =