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

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

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

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

\frac{1}{2}

Decimal Notation

0.5

Solution steps

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

Simplify

\frac{x - 1}{x ^{2} - 1} : \frac{1}{x + 1}

= x \to 1 lim (\frac{1}{x + 1})

Plug in the value

x = 1

= \frac{1}{1 + 1}

Simplify

= \frac{1}{2}

\frac{d}{d x} (x^{3} (ln (x))^{c o s (x)})

\int y^{- 4} d y

f (x) = \frac{3}{( x + 5 ) ^{2}}, at x = \frac{3}{16}

\frac{\partial}{\partial y} (\frac{5 x}{6 y})

(cot (x))^{^{'}}

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