1. Which of the following is the Taylor series for f(x) = e-x centered at x = 0.
(A)
. . . .(B)
. . . .(C)
. . . .(D)
2.
(A) infinity. . . .(B) 0. . . .(C) 3/4. . . .(D) 4
3.
(A) 2. . . .(B) -2. . . .(C) 4. . . .(D) -4
4.
(A) Radius = 2, Interval = (1, 5]
(B) Radius = 2, Interval = [1, 5]
(C) Radius = 2, Interval = (-2, 2)
(D) Radius = 2, Interval = [1, 5)
5. Find the radius and interval of convergence of
(A) Radius = 3, Interval = (-3, 3)
(B) Radius = 3, Interval = [1,7)
(C) Radius = 3, Interval = [-7, -1]
(D) Radius = 3, Interval = (-7, -1)
6. Given the series
sec2x=1+x2+23x4+..., which of the following is the series for tan x?
(A)
(B)
x+13x3+215x5+...
(C)
(D)
(E) None of the above
7. Convert (r, q) = (2, -p/4) to Cartesian coordinates.
(A)
(B)
(C)
(D)
8.
(A) 140/3. . . .(B) 14. . . .(C) 0.2. . . .(D) 5
(A)
2.
(A) infinity. . . .(B) 0. . . .(C) 3/4. . . .(D) 4
3.
(A) 2. . . .(B) -2. . . .(C) 4. . . .(D) -4
4.
(A) Radius = 2, Interval = (1, 5]
(B) Radius = 2, Interval = [1, 5]
(C) Radius = 2, Interval = (-2, 2)
(D) Radius = 2, Interval = [1, 5)
5. Find the radius and interval of convergence of
(A) Radius = 3, Interval = (-3, 3)
(B) Radius = 3, Interval = [1,7)
(C) Radius = 3, Interval = [-7, -1]
(D) Radius = 3, Interval = (-7, -1)
6. Given the series
sec2x=1+x2+23x4+..., which of the following is the series for tan x?
(A)
(B)
(C)
(D)
(E) None of the above
7. Convert (r, q) = (2, -p/4) to Cartesian coordinates.
(A)
(B)
(C)
(D)
8.
(A) 140/3. . . .(B) 14. . . .(C) 0.2. . . .(D) 5
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