```Date: Oct 23, 2012 12:31 PM
Author: Brian Swanagan
Subject: Re: [ap-calculus] limit from Stu Schwartz

NOTE: This ap-calculus EDG will be closing in the next few weeks. Please sign up for the new AP CalculusTeacher Community Forum at https://apcommunity.collegeboard.org/getting-startedand post messages there. ------------------------------------------------------------------------------------------------Another way to view it might be what we often do for rational functions.lim_(x - > -inf) (3x^4 - 3x^3 + 5x^2 + 8x - 3) =lim_(x - > -inf) (3x^4 - 3x^3 + 5x^2 + 8x - 3)/1 =lim_(x - > -inf) (3x^4 - 3x^3 + 5x^2 + 8x - 3)/1 * (1/x^4)/(1/x^4) =lim_(x - > -inf) [3 - 3/x + 5/x^2 + 8/x^3 - 3/x^4]/[1/x^4] -> (3 + 0 + 0 +0 + 0)/(+0) -> +/+ inf = + infOn Mon, Oct 22, 2012 at 9:16 AM, Tammy Slack <tslack@bgcsd.org> wrote:> NOTE:> This ap-calculus EDG will be closing in the next few weeks. Please sign up> for the new AP Calculus> Teacher Community Forum at> https://apcommunity.collegeboard.org/getting-started> and post messages there.>> ------------------------------------------------------------------------------------------------> Can anyone tell me how to solve the limit as x approaches negative> infinity of (3x^4 - 3x^3 + 5x^2 + 8x - 3)?  I assume it is positive or> negative infinity but don't know how to tell which it is.> ---> To search the list archives for previous posts go to> http://lyris.collegeboard.com/read/?forum=ap-calculus>-- Brian Swanagan, PhDModel High SchoolMathematics Teacher---To search the list archives for previous posts go tohttp://lyris.collegeboard.com/read/?forum=ap-calculus
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