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

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

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

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

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

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

Simplify

\frac{1 - x}{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{1}{x})^{^{'}}

y^{^{''}} + 2 y^{^{'}} = 2 x + 9 - e^{- 2 x}

\frac{6 s + 4}{s ^{2} + 4 s + 20}

y^{^{'}} + 5 y = e^{- 3 x}

\int sin^{6} (x) cos^{5} (x) d x

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