What is the limit as x approaches 5 of 1/(x^2-1) ?

The limit as x approaches 5 of 1/(x^2-1) is 1/24

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limit as x approaches 5 of 1/(x^2-1)

x \to 5 lim (\frac{1}{x ^{2} - 1})

\frac{1}{24}

Decimal Notation

0.04166 \dots

Solution steps

x \to 5 lim (\frac{1}{x ^{2} - 1})

Plug in the value

x = 5

= \frac{1}{5 ^{2} - 1}

Simplify

= \frac{1}{24}

\frac{d}{d x} (\frac{2 x ^{2} + 8 x + 4}{x})

y^{^{''}} + 31 y = 0

\frac{d}{d x} (- 8 x^{\frac{1}{2}})

5 x + 6, at x = 6

\int x e^{- s x} d x

What is the limit as x approaches 5 of 1/(x^2-1) ?
The limit as x approaches 5 of 1/(x^2-1) is 1/24