<p>I understand logistic growth, but there are some questions where they ask the limit as the differential logistic equation approaches infinity or 0 or some other value and the scoring guidelines just state the answer, with no explanation. my prep book has nothing on this... i can't understand how they get the answer! HELP!</p>
<p>When they are asking the limit as dP/dt approaches infinity, it will be the carrying capacity. As the time goes on to infinity, the population(or what ever the function is for) will go to the max carrying capacity it can hold.</p>
<p>ok tnx. one last question…
with maclaurin series, if there are other, non-power terms in the series, does it not matter?
e.g. would e^x + 2x + 1 still expand to the same series as e^x?
and would sin(x) + 2x+ 5 still expand to the same series as sin(x)?</p>
<p>Yes, that would change the polynomial. With e^x + 2x + 1 it would change the coefficients for the first two terms because e^x /= e^x + 2x + 1, and then e^x /= e^x + 2. But once you get to your next term, you would have e^x = e^x, so from there on the coefficients would be the same.</p>
<p>[YouTube</a> - Blame My Calc BC](<a href=“http://www.youtube.com/watch?v=lBTF57_mUY8&feature=related]YouTube”>http://www.youtube.com/watch?v=lBTF57_mUY8&feature=related)</p>
<p>^Heh. My life.</p>
<p>Lmao. That and the fresh prince of calc BC were great.</p>
<p>I don’t get logistic equations or taylor series. =/</p>