|t° +4t + 3 t=1 8.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Determine whether the following series converges or diverges.
Vi
00
1-1 Vt' +4t+ 3
t=1
Transcribed Image Text:4. Determine whether the following series converges or diverges. Vi 00 1-1 Vt' +4t+ 3 t=1
Expert Solution
Step 1

let the given series be  utt=1  

where utt3t3+4t+3

let us consider  vt1t76

Now we have

 lim tutvt =limtt3t3+4t+3×t761 =limtt32t3+4t+3                =limt1t3+4t+3t3 =limt11+4t2+3t3= 1 (non zero finite)                

 

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