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

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

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

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

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

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

Plug in the value

n = 2

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

Simplify

= \frac{1}{3}

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