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

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

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

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

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

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

Plug in the value

x = 2

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

Simplify

= \frac{1}{3}

y = \frac{1}{8 x ^{2}}, y = x, y = \frac{x}{8}

\frac{d}{d x} (x sec (y))

\frac{1}{x - 4}

\int_{0}^{4} (x - (x - 2)) d x

y = \frac{- 10}{x ^{4}}

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