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

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