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p-Series
Worksheet
Grade Level
Calculus II
CAL2.118 p-Series
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For any real number a, consider sum_{n=1}
infty
1/n^((a
2
+ 1)/(a
2
+ 2)). What is the convergence conclusion?
A
Converges for every real a, because the numerator and denominator are positive.
B
Converges only when a = 0.
C
Cannot be determined because a is arbitrary.
D
Diverges for every real a, because 0 < (a
2
+ 1)/(a
2
+ 2) < 1.
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