15.(A)
(B)
(C)
(D)
(E)16.(A)
(B)
(C)
(D)
(E)(A)
(B)
(C)
(D)
(E)- (A)
(B)
(C)
(D)
(E)(A)(B)(C)
(D)
(E)Let . The radius of convergence of is 0
1
2
e
∞The coefficient of x^4 in the Maclaurin series for f(x) = e−x/2 is If an appropriate series is used to evaluate , then, correct to
three decimal places, the definite integral equals 0.009
0.082
0.098
0.008
0.090If the series tan−^1 . . . is used to approximate with an
error less than 0.001, then the smallest number of terms needed is 100
200
300
400
500Let f be the Taylor polynomial P 7 (x) of order 7 for tan−^1 x about x = 0.
Then it follows that, if −0.5 < x < 0.5, f(x) = tan−^1 x f(x) ≤ tan−^1 x f(x) ≥
tan−^1 x f(x) > tan−^1 x if x < 0 but < tan−^1 x if x > 0
f(x) < tan−^1 x if x < 0 but > tan−^1 x if x > 0
Replace the first sentence in Question 19 by “Let f be the Taylor
polynomial P 9 (x) of order 9 for tan−^1 x about x = 0.” Which choice given
in Question 19 is now the correct one?