6).  Use the Root Test to determine whether  ∞ n = 1 an  converges, where  an  is as follows. an =  n − 1 3n + 4     n   Evaluate the following limit.   lim  n → ∞  n |an|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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6). 

Use the Root Test to determine whether 

n = 1
an
 converges, where 
an
 is as follows.
an = 

n − 1
3n + 4
    n
 
Evaluate the following limit.
 
lim 
n → ∞ 
n

|an|
 
   
Since 
lim 
n → ∞ 
n

|an|
  1,
  .

 

 

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