• Graph of f(x) is discontinuous at x = 2 and x = 3. •
lim
x→2+
f (x) = ∞ ,
lim
x→2−
f (x) = - ∞ , •
lim
x→3+
f (x) = ∞ ,
lim
x→3−
f (x) = - ∞ , •
lim
x→∞+
f (x) =
lim
x→∞−
f (x) = 1 • f (1) = f (5) = 0.
(A)→(P), (R), (S) If –1 < x < 1, then 0 < f(x) < 1, f (x) > 0 and f (x) < 1. (B)→(Q), (S) If 1 < x < 2, then f(x) < 0 and f(x) < 1. (C)→(Q), (S) If 3 < x < 5, then f(x) < 0 and f(x) < 1. (D)→(P), (R), (S) If x > 5, then 0 < f(x) < 1, f (x) > 0 and f (x) < 1.