What is the limit as x approaches 0 of (x^3-2x)/(2x) ?

The limit as x approaches 0 of (x^3-2x)/(2x) is -1

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limit as x approaches 0 of (x^3-2x)/(2x)

x \to 0 lim (\frac{x ^{3} - 2 x}{2 x})

- 1

Solution steps

x \to 0 lim (\frac{x ^{3} - 2 x}{2 x})

Simplify

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

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

Plug in the value

x = 0

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

Simplify

\frac{1}{2} (0^{2} - 2) : - 1

= - 1

n \to \infty lim (k^{n})

x \to 0 + lim (4 (\frac{1}{x} - cot (x)))

x \to c lim (4 g (x) - f (x))

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

x \to 0 + lim ((e + \frac{1}{x})^{x})

What is the limit as x approaches 0 of (x^3-2x)/(2x) ?
The limit as x approaches 0 of (x^3-2x)/(2x) is -1