+0  
 
0
1
99
5
avatar+1673 

double check answer?

 Jan 9, 2020
 #1
avatar+109345 
+2

Correct, Jenny   !!!!

 

 

cool cool cool

 Jan 9, 2020
 #2
avatar+1673 
+1

thank you(: , it has to do with the powers right?

jjennylove  Jan 9, 2020
 #3
avatar+109345 
+2

Exactly  !!!

 

This series diverges   [ it  doesn't evaluate to a finite result ]

 

As n gets larger and larger, the  function in the numerotor "over-powers"  the function in the  denominator 

 

 

cool cool cool  

CPhill  Jan 9, 2020
 #4
avatar+109345 
+2

Here's a way to see this

 

Divide each term by  n^4    and we get that

 

             3n^5 / n^4

______________________  = 

15n^4 / n^4    +    5/n^4

 

 

            3n

_______________        if we let  n  approachi infinity,  5/n^4   approaches    0

    15     +  5/n^4

 

So    we are left with

 

(3/15)n

 

And  as n approches infinity  this term also  approacnes infinity.....so.....the series does not  resolve to any specific value

 

 

cool cool cool

 Jan 9, 2020
 #5
avatar+1673 
0

so sorry I forgot to reply, but yes this makes sense! I will add notes with this,thank you so much.

jjennylove  Jan 15, 2020

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