What is the limit as x approaches 0 of x/(x^2-1) ?

The limit as x approaches 0 of x/(x^2-1) is 0

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limit as x approaches 0 of x/(x^2-1)

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

0

Solution steps

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

Plug in the value

x = 0

= \frac{0}{0 ^{2} - 1}

Apply rule

\frac{0}{a} = 0, a \neq = 0

= 0

\frac{d}{d x} (\frac{1}{x ( ln ( x ) )})

81 y^{^{''}} + 108 y^{^{'}} + 66 y = 0, y^{^{'}} (0) = 2, y (0) = 6

1 - x

\frac{d}{d x} (\frac{9 x}{64 + x ^{2} + y ^{2}})

\frac{d}{d x} (- ln ∣ cos (x) ∣)

What is the limit as x approaches 0 of x/(x^2-1) ?
The limit as x approaches 0 of x/(x^2-1) is 0