4).   Use the Ratio Test to determine whether  ∞ n = 1 an  converges, where  an  is given. State if the ratio test is inconclusive. ∞ n = 1 34n(n!)4 (4n)! Identify  an.     Evaluate the following limit.   lim  n → ∞  an+1 an       Since  lim  n → ∞  an+1 an   1,   . please show step by step .

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4).  

Use the Ratio Test to determine whether 

n = 1
an
 converges, where 
an
 is given. State if the ratio test is inconclusive.

n = 1
34n(n!)4
(4n)!
Identify 
an.
   
Evaluate the following limit.
 
lim 
n → ∞ 

an+1
an

 
   
Since 
lim 
n → ∞ 

an+1
an

  1,
  .

please show step by step . 

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