SOLUTION: Limits: Rational Function Q1)Let {{{f(x)=2x^8-12x^2+5}}} and {{{g(x)=c*x^n-4x^2+20}}} with {{{c<>0}}}. Then implies n = or > or < to ?. {{{lim(x->infinity, f(x)/g(x)=0)}}} Q

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Question 1037058: Limits: Rational Function
Q1)Let and with . Then implies n = or > or < to ?.

Q2) Let and with . Then implies n = or > or < to ?.


Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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Limits: Rational Function

Q1)  Let  and  with . 

     Let   .     <<<---  Then n > 8.  Independently on "c" (on the sign of "c").


Q2)   Let  and  with . 

      Let       <<<---  Then 3 <= n <= 5.


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