Course:MATH110/Archive/2010-2011/003/Math Forum/Calculus Early Transcendentals Section2.3

Hi all,

I've been trying question 40 in Section 2.3 of the reading assignment and I can't seem to simplify the numerator in a way that agrees with the fraction as a whole.

The question is

$\lim _{t\rightarrow 2}{\frac {3t^{2}-7t+2}{2-t}}$

I tried factoring, the quadratic formula; it may just be I'm making a careless mistake or something I'm not seeing, if anyone has any suggestions it would be much appreciated! (sorry for the horrible formatting! I'm still trying to get the hang of using the wiki) --BernadetteHii 02:13, 18 October 2010 (UTC)

This they way i think it should be done: 3t^2-7t+2/2-t 3t^2-6t-t+2/2-t 3t(t-2)-1(t-2)/2-t (3t-1)(t-2)/2-t take out (t-2)/(2-t)=-1 (3t-1)(-1)=(1-3t) then substitute 2 in the equation 1-3(2)=-5