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Convergence of Series with Exponential Terms
Worksheet
Grade Level
Calculus II
CAL2.131 Convergence of Series with Exponential Terms
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For sum_{n=2}
infty
((n-1)/(n+1))^(n
2
) 8
n
, which statement is correct?
A
It converges because (n-1)/(n+1)<1 for every n.
B
The Root Test gives limit 8/e, so it diverges.
C
The Root Test gives limit e
2
/8<1, so it converges.
D
The Root Test gives limit 8/e
2
>1, so it diverges.
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