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Root Test
Worksheet
Grade Level
Calculus II
CAL2.128 Root Test
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Use the Root Test limit to classify ∑_{n=1}^∞ (((1+2/n)
n
)/e
2
)
n
.
A
L = e
-2
; since L < 1, the series converges absolutely.
B
L = 1; the Root Test is inconclusive.
C
L = e
2
; since L > 1, the series diverges.
D
The Root Test proves conditional convergence.
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