What is the limit as x approaches 1 of (x^2-1)/(x-2) ?

The limit as x approaches 1 of (x^2-1)/(x-2) is 0

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limit as x approaches 1 of (x^2-1)/(x-2)

x \to 1 lim (\frac{x ^{2} - 1}{x - 2})

0

Solution steps

x \to 1 lim (\frac{x ^{2} - 1}{x - 2})

Plug in the value

x = 1

= \frac{1 ^{2} - 1}{1 - 2}

Simplify

\frac{1 ^{2} - 1}{1 - 2} : 0

= 0

x \to - \frac{π}{2} - lim (- 6 x - \frac{π}{2})

x \to 0 + lim (x^{2} \cdot ln (x^{3}))

x \to \infty lim (- 2, + x)

x \to \infty lim (x π)

x \to 1 lim (\frac{2 x + ∣ x ∣}{3 x})

What is the limit as x approaches 1 of (x^2-1)/(x-2) ?
The limit as x approaches 1 of (x^2-1)/(x-2) is 0