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https://prnt.sc/s6xnz0

 Apr 27, 2020
 #1
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Find the limit of   ( 2n4 - 15 ) / ( 6n4 + 17 )   as n gets increasingly larger.

 

Divide every term in the numerator and denominator by n4:

     [  2n4 / n4  -  15 / n4 ]  /  [  6n4 / n4  +  17 / n4 ]

=   [  2  -  15 / n4 ]  /  [ 6  +  17 / n4 ]

 

As  n  gets very large both  15 / n4  and  17 / n4  get very small; they approach zero.  

 

So, this approaches  [ 2 - 0 ] / [ 6 + 0 ]  =  1/3.

 Apr 27, 2020

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