Answer
$\lim\limits_{x \to 1} \frac{x^3-x^2}{x-1} = 1$
Work Step by Step
Using the rules of limits, we find:
$$\lim\limits_{x \to 1} \frac{x^3-x^2}{x-1} \\= \lim\limits_{x \to 1} \frac{x^2(x-1)}{x-1} \\= \lim\limits_{x \to 1} x^2 = 1^2 = 1$$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.