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

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

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

x \to - 1 - lim (\frac{x - 1}{x ^{3} - 1})

1

Solution steps

x \to - 1 - lim (\frac{x - 1}{x ^{3} - 1})

Plug in the value

x = - 1

= \frac{- 1 - 1}{( - 1 ) ^{3} - 1}

Simplify

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

= 1

\frac{\partial}{\partial x} (x^{2} sin^{2} (yz))

\frac{d}{d x} ((ln (x + 1))^{3})

x \to 3 lim (x + 7)

\int 3 arccos (\frac{x}{2}) d x

\frac{\partial}{\partial x} (x^{2} + x y)

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