form. def. på en grenseverdi

[DarkMatter]

lim (x[sup]2[/sup] + 3x +2)/(x-1) = 12
x-->2


|(x[sup]2[/sup] + 3x +2)/(x-1) - 12| < epsilon

==> |(x[sup]2[/sup] - 9x + 14)/(x-1)| < epsilon

==> |((x-2)*(x-7))/(x-1)| < epsilon

==> |x-2| < epsilon*(x-1)/(x-7)


0 < |x-2| < delta

|x-2| < delta = epsilon*(x-1)/(x-7)

==> ((x-2)(x-7))/(x-1) < epsilon



Gjør jeg noe feil her ?

[Trude]

Nei da ser bra ut dette