Answer
$\approx 0.67$
Work Step by Step
We have to determine the limit:
$\displaystyle\lim_{x\rightarrow 1} \dfrac{x^3-x^2+x-1}{x^4-x^3+2x-2}$
We use a graphing utility to compute the limit.
The result is:
$\displaystyle\lim_{x\rightarrow 1} \dfrac{x^3-x^2+x-1}{x^4-x^3+2x-2}\approx 0.67$
