Question 1037058
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Limits: Rational Function


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Q1)  Let {{{f(x)=2x^8-12x^2+5}}} and {{{g(x)=c*x^n-4x^2+20}}} with {{{c<>0}}}. 

     Let   {{{lim(x->infinity, f(x)/g(x)=0)}}}.     <<<---  Then n > 8.  Independently on "c" (on the sign of "c").
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Q2)   Let {{{2x^6-12x^2+2}}} and {{{g(x)=c*x^n-4x^2+15}}} with {{{c>0}}}. 

      Let  {{{lim(x->infinity, f(x)/g(x)=infinity)}}}     <<<---  Then 3 <= n <= 5.
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