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Calculus · Limits

Limit of (x^2 - 1)/(x - 1) as x → 1

\lim_{x \to 1} \frac{x^{2} - 1}{x - 1}

Step by step

  1. \lim_{x \to 1^+-} \frac{x^{2} - 1}{x - 1}

    Try direct substitution first.

  2. \frac{0}{0}

    Substitution gives 0/0: an indeterminate form.

  3. \frac{x^{2} - 1}{x - 1} = x + 1

    Factor and cancel the common factor.

  4. = 2

    Now substitute.

Reveal the answer
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