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

The limit as x approaches 2 of (x-1)/(x^2-1) is 1/3

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

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

\frac{1}{3}

Decimal

0.33333 \dots

Solution steps

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

Plug in the value

x = 2

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

Simplify

= \frac{1}{3}

What is the limit as x approaches 2 of (x-1)/(x^2-1) ?
The limit as x approaches 2 of (x-1)/(x^2-1) is 1/3