April 25th, 2016, 12:00 PM  #1 
Newbie Joined: Sep 2013 Posts: 6 Thanks: 0  Limit calculation
Hey! Is it even possible to solve this limit expression? 
April 25th, 2016, 12:09 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,502 Thanks: 2511 Math Focus: Mainly analysis and algebra 
Of course it is, it's just the ratio of polynomials in $p$. I think it goes to $\pm\infty$ depending on whether you take the left or right sided limit and depending on the value of the constant $a_3$.
Last edited by v8archie; April 25th, 2016 at 12:12 PM. 
April 25th, 2016, 03:56 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,628 Thanks: 622 
The numerator behaves like $\displaystyle 2a_3p^2$ and the denominator behaves like $\displaystyle kp^3$, so the ratio becomes infinite, as p > 0.


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