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For What Values of X Does the Series
        ~~~~~~~~

Question 111

Multiple Choice

For what values of x does the series  For what values of x does the series    (a)  converge absolutely?  (b)  converge conditionally? A)  (a)  x = 0 only,  ~~~~~~~~ (b)  nowhere B)  (a)  -1 < x < 1,  ~~~~~~~~ (b)  nowhere C)  (a)  -1 < x < 1,  ~~~~~~~~ (b)  x = -1 and x = 1 D)  (a)  all real x,  ~~~~~~~~ (b)  nowhere E)  (a)  -1 < x < 1,  ~~~~~~~~ (b)  x = 1
(a) converge absolutely?
(b) converge conditionally?


A) (a) x = 0 only,         ~~~~~~~~ (b) nowhere
B) (a) -1 < x < 1,         ~~~~~~~~ (b) nowhere
C) (a) -1 < x < 1,         ~~~~~~~~ (b) x = -1 and x = 1
D) (a) all real x,         ~~~~~~~~ (b) nowhere
E) (a) -1 < x < 1,         ~~~~~~~~ (b) x = 1

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