For which of the following series does the Ratio Test fail to give definite answer? ∞ n=1 III. (-1)" √n+1 1+n³ 11. Σ + +1/10 n=1 ∞ (−2)+1 √n n=1 O I only Il only O III only I and II only II and III only

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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For which of the following series does the Ratio Test fail to give a
definite answer?
X
Ι.Σ
n
II.
III.
n=1
(−1)" √n+1
1+n³
n=1
n4
(−2)n+1
√n
O I only
Il only
O III only
O I and II only
O II and III only
Transcribed Image Text:For which of the following series does the Ratio Test fail to give a definite answer? X Ι.Σ n II. III. n=1 (−1)" √n+1 1+n³ n=1 n4 (−2)n+1 √n O I only Il only O III only O I and II only O II and III only
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