+0  
 
0
85
2
avatar+312 

                                                                       

 Feb 11, 2020
 #1
avatar+109740 
+2

Not sure about the  first one  .....but....for the second one

 

We have a  same degree polynomial . same degree polynomial   situation....so.....the  limit  of  nth term as x  becomes increasingly large  is just the ratio  of the coefficients on the highest power terms in the numerator and  denominator....so  we  have

 

8 / 6    =  

 

4 / 3

 

 

 

cool cool cool

 Feb 11, 2020
 #2
avatar+29257 
+5

For the first one, note that the term 3n5/(4n5 + 1)  gets very close to 3/4 by the time n has reached 10 or so.  What that means is that the sum consists of an infinite number of values that are all very nearly 3/4.  Adding an infinite number of 3/4 results in an infinite sum.

 Feb 12, 2020
edited by Alan  Feb 12, 2020

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