L ladyfire New member Joined Sep 12, 2006 Messages 11 Sep 13, 2006 #1 find the value of the limit as h-->0 of [(h - 1)^3 + 1] / h I know I need to use f(x + h) - f(x) / h how does it look when you plug it in?
find the value of the limit as h-->0 of [(h - 1)^3 + 1] / h I know I need to use f(x + h) - f(x) / h how does it look when you plug it in?
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Sep 13, 2006 #2 Where are you having difficulty?. Simply expand out and see. \(\displaystyle \L\\\lim_{x\to0}\frac{h^{3}-3h^{2}+3h}{h}\) Factor h from the numerator, cancel, and you can see your limit.
Where are you having difficulty?. Simply expand out and see. \(\displaystyle \L\\\lim_{x\to0}\frac{h^{3}-3h^{2}+3h}{h}\) Factor h from the numerator, cancel, and you can see your limit.