(D) Use the Rational Function Theorem. The degrees of P(x) and Q(x)
are the same.
(C) Remove the common factor x − 3 from numerator and denominator.
(A) The fraction equals 1 for all nonzero x.
(D) Note that .
(B) Use the Rational Function Theorem.
(A) Use the Rational Function Theorem.
(E) Use the Rational Function Theorem.
(C) The fraction is equivalent to ; the denominator approaches ∞.
(D) Since , therefore, as x → −∞, the fraction → +∞.
(D)