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 Notation

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{- 2 + 1}{( - 2 ) ^{2} - 1} : \frac{1}{3}

= \frac{1}{3}

9 \to 9 lim (6820 + \frac{81 - 9 ^{2}}{9 - 9})

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

y \to 3 lim (y^{2} - 2 y + 7)

x \to \infty lim (25)

x \to 0 lim (\frac{8 e ^{2 x} - 8}{e ^{x} - 1})

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