What is the limit as x approaches 0 of (x^3-1)/(x-1) ?

The limit as x approaches 0 of (x^3-1)/(x-1) is 1

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limit as x approaches 0 of (x^3-1)/(x-1)

x \to 0 lim (\frac{x ^{3} - 1}{x - 1})

1

Solution steps

x \to 0 lim (\frac{x ^{3} - 1}{x - 1})

Plug in the value

x = 0

= \frac{0 ^{3} - 1}{0 - 1}

Simplify

= 1

x = y^{2}, x = 36 - y^{2}

y = \frac{x}{8} - \frac{8}{x}

\int_{t}^{1} \frac{1}{x - 1} d x

\frac{d}{d x} (\frac{x - 2}{x + 3})

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

What is the limit as x approaches 0 of (x^3-1)/(x-1) ?
The limit as x approaches 0 of (x^3-1)/(x-1) is 1