Grenzwert/Hospital und Polynomdivision/x^2-3x+2 durch x^3-2x+1/x ist 1/Aufgabe/en

Determine the limit of

${\frac {x^{2}-3x+2}{x^{3}-2x+1}}$

at point

${}x=1$, and specifically

a) by polynomial division.

b) by the rule of l'Hospital.