(D).(A) If , then f(0) is not defined.(C) unless x = 3.(B) The integrated series is . See Question 25.(E)(A)(E) The series satisfies the Alternating Series Test, so the error is less
than the first term dropped, namely, , or , so n ≥ 500.(D) Note that the Taylor series for tan−^1 x satisfies the Alternating Series
Test and that . If x < 0, then the first omitted term,
, is negative. Hence P 7 (x) exceeds tan−^1 x.