Evaluate \displaystyle\lim{x\to 1}\dfrac{x^3 - 1}{x^2 - 1}.

\tfrac{3}{2} L'Hôpital: 3x^2/(2x) = 3x/2 \to 3/2 at x = 1.

L'Hôpital's Rule

AP Calculus AB· difficulty 2/5

\displaystyle\lim_{x\to 1}\dfrac{x^3 - 1}{x^2 - 1}

Explanation

3x^2/(2x) = 3x/2 \to 3/2

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