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

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

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

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

- 2

Solution steps

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

Plug in the value

x = 1

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

Simplify

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

= - 2

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

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

x \to 0 lim (\frac{ln ( 1 + x ^{2} )}{2 x ^{2}})

x \to 0 lim (2 e^{x} cos (x))

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

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