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

The limit as x approaches 3 of (x-1)/(x^2-1) is 1/4

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

x \to 3 lim (\frac{x - 1}{x ^{2} - 1})

\frac{1}{4}

Decimal Notation

0.25

Solution steps

x \to 3 lim (\frac{x - 1}{x ^{2} - 1})

Plug in the value

x = 3

= \frac{3 - 1}{3 ^{2} - 1}

Simplify

\frac{3 - 1}{3 ^{2} - 1} : \frac{1}{4}

= \frac{1}{4}

e^{- 2 s} \frac{1}{s - 9}

\int \frac{1}{1 + x} d x

(0, - 6), (3, - 5)

t \to 0 lim (\frac{sin ( 3 t ) + 4 t}{t sec ( t )})

What is the limit as x approaches 3 of (x-1)/(x^2-1) ?
The limit as x approaches 3 of (x-1)/(x^2-1) is 1/4