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

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

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

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

- 1

Solution steps

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

Simplify

\frac{x ^{3} - x}{x} : x^{2} - 1

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

Plug in the value

x = 0

= 0^{2} - 1

Simplify

= - 1

n = 1 \sum \infty ∣ sin (n) ∣

\frac{d}{d x} ((cos (x)) (ln (tan (x))))

(2 x + 3)^{\frac{1}{4}}

y^{2} + 8 x = 16, y^{2} - 24 x = 48

(8 x)^{2 x}

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