Question
Asked Sep 2, 2019
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27. Which of the following series is/are divergent by Basic Divergence Test?
ΙΣ ΙΣ Σ
k +1
II
4k
A) I only
B) II only
C) III only
D) II and III
E) I and III
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27. Which of the following series is/are divergent by Basic Divergence Test? ΙΣ ΙΣ Σ k +1 II 4k A) I only B) II only C) III only D) II and III E) I and III

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Expert Answer

Step 1

Given,

 

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k1 12 .ΣΠ.Σ 4k Ι.Σ

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Step 2

Basic divergence test says that,

 

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If lima, 0, then ^a, will diverge -1

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Step 3

Therefore,

&nb...

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lim 0 k limk o0 k 1 1+ k k1+ k 1+0 1 k1lim lim 4k =lim 4 4 4 4k

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Calculus

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