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

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

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

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

1

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= 1

y = 5 x^{3} - 5 x, (1, 0)

n = 1 \sum \infty \frac{2 ^{n} x ^{n}}{n}

\int \frac{x ^{2}}{1 + x ^{2}} d x

\frac{d}{d x} (e^{x} + 3)

\int_{1}^{9} u + 2 d u

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